Tuesday, July 18, 2017

Get perfect in Solving Equations: Know some important points

Mathematics is one of the most interesting subjects from the academic courses. There are many interesting facts that are known to constitute mathematics. Algebra is known to be one of the most important aspects of mathematics that you need to learn. Algebraic equations, therefore, stand to be some of the most basic concepts here. There are many interesting tricks that can be related to the solution of these algebraic problems. They are known to make the process of getting the solution much easier than before. This also helps the students to learn the concepts well. There can be many different aspects that will affect the methods used for solving equations.   
Solving Equations
Solving Equations

We will discuss some of those here and help you to get the best answers with the best tricks. However, you first need to know that there are many different types of equations. Therefore the ways to solve them will also be different to an extent. The use of these methods needs to be clear in order to be perfect in solving equations. There are considerably many different algebraic concepts that you may need to learn. However, you first need to understand that addition, subtraction, multiplication, and division are some of the most basic pillars that will help you to be perfect. If you are good at these, then you will be absolutely good at solving them.

Steps to get the solution
Algebraic problems are those who need to be solved as per correct steps. Step by step solution will always bring you the right solution. So make sure that you try to cover each step perfectly. However, there are many important steps involved in the solution of an algebraic equation. Here are the steps explained and illustrated for you:

Write and observe the equation: You need to know the equation that is to be solved, write it on the sheet and pick up all the important aspects of it. For example, the equation is: . Note down all that factors in this that you feel are important.

Simplification of the equation: The next step is to simplify both the sides of the equation. However remember the concept of LHS and RHS always. This is the most important concept here. You need to bring the variable to one side and the rest of the equation to the other. For example:

x² + 513= 1023;
x² = 1023-513; Therefore,
x = √510
This is the simplified form of the equation.

Apply the formula: Once you have simplified the equation you need to apply the required formula. This may not be the case in linear equations however as these can be solved easily by using the different operations. However, there can be some different cases too. Therefore you need to know how to deal with the different problems. You need to make use of the correct formula otherwise it may not work sometimes. With these tips, you will be able to solve equations in a better way. Also with considerable practice, you will be able to get perfect in solving equations with any level of difficulty.  

Thursday, June 15, 2017

Factoring Polynomials – How to Factor Polynomials?

Factoring is an important term in mathematics which let you to fi9nd t6he products of a polynomial. Well, you will need to practice this as it is easy, but without practice, one will not be able to understand its pattern.  For factoring polynomials, one should be excellent at factoring numbers plus must have the basic knowledge of algebra. So, today, we are looking for the methods for factorizing these polynomials and convert it into a binomial. 

Steps to factories polynomials
Yes, you need to learn steps as one should know as which to do at first to factories it. The most significant term included in it is Greatest Common factor which is an abbreviation of GCF. 
·         In the first step, you need to find out the greatest common factor.  If you don’t know what GCF is, then let me tell you that it is the biggest expression that will be common in all the terms. In other words, while solving polynomials, one has to find a number which must be a common factor or number in all the terms from which it is obtained.
·         In case you will get a trinomial in which the equation contains three terms and for4 solving that terms one can take help of a FOIL method.

·         In case, it is a binomial one should look for the sum of cubes or different of squares. And after you factories all the polynomials then one has to use zero as a product property to find the answers.

 Now, let’s factorize polynomials with an example. Let’s solve equation 

So, let’s start answering it:  

Now, in the next step, consider 10 and factorize this number. After you finish factorizing it, you will get 5 and two from it.
Now, 
Well, we write (5x) and (-3x) to factorize these polynomials. Besides his, always make sure that you will put right sign before the number as a single wrong sign will give you the right answer. Besides this, you need to know all the rules of signs.
Now, you have to take common x from the equation like:  

Now, after this whole calculation, you have to take zero products for finding out the value x. Now,
x+5=0 which will give you x = -5 and (x-2) will give you, x=2.
So, this is the entire solution of the trinomial equation. Well, there are still various things which you should consider while factoring polynomial:
·         Make sure that you learn about the signs at first because using proper sign is an essential part of the solution.
·         Remember this common rule of signs: 




·         Besides this, arrange the middle terms in a way that its sum will be equal to the last term and its product will be equal to the middle value of the equation.

Factoring polynomial is full of fun, and when you get used to it, and then you will love to solve such problems. Math is just full of fun when you start understating its concepts.

Saturday, June 10, 2017

Know a Simple Method for Adding Fractions with Same Denominators and Different Denominators

You may have come across with fractions often since you are studying the factions. They come in the formulas, algebraic equations, and some practical problems. Algebraic equations contain fractions, so it is an important topic to solve the equations of algebra. You should study about adding fractions that contain algebraic expressions.  However, numbers are included in the fractions of arithmetic. You should know all the operations on fractions as they are useful for various problems. You must be capable of solving addition, subtraction, division and multiplication of different fractions. Here, you will study how to add two different fractions that are containing only numbers by an easy method.

Adding fractions
Adding fractions 

Types of fractions
Firstly, you should be aware of the different types of fractions. There are usually two kinds of fractions used that are like or same fractions and unlike fractions for addition. The like fractions are the fractions that have the same number at the denominator place like 2/3 and 4/3. Whereas, the, unlike fractions, has different numbers at the denominators place like 2/3 and 4/11. You should able for adding fractions of both like and unlike fractions.

To add the like fractions
To add two different fractions having same denominators is simple. You have to add only the numbers at the numerators of both the like fraction. After adding the numerators, check whether it can be simplified further or not. If the fraction can be simplified that is it can be reduced, you should correctly convert it into lowest form. It is explained in the example below.

So, as the both the denominators are same, you can add it as, 




It can be reduced further as both 4 and 8 are divisible by a common number that is 4. Thus, the correct answer to this problem will be,  

To add the unlike fractions
To add two unlike fractions is little tricky, as the denominators are not same. In this case, you have to make the denominators of the fraction same. So convert the fractions so that they have the same denominator and then simply add them. For adding fractions easily, you must ensure sure that both the bottom numbers that is denominators are same.
    Firstly, convert the unlike fractions to like fractions by making both the denominators same.
    Then, you have to add only the numerators of both the fractions, as the denominators are made same.
    Then, if the fraction obtained after addition can be simply further, you must convert it into lowest or reduced form correctly. it will be your final answer that would be a fraction.

Consider this problem to understand it better, and you can easily add the fractions.
Firstly, you have to make both the denominators same as they are different that are 3 and 6. If we multiply both the numerator and denominator of the first fraction by 1/3 by 2, it can be converted to 2/6. So, you can add this new fraction with the second fraction 5/6 that gives the answer as 7/6.
So, you have studied to add the arithmetic fractions. Adding fractions in the way to add two algebraic fractions is also simple for you.

Wednesday, May 24, 2017

The Quadratic Formula - An Easy Way to Solve Quadratic Equations

Algebra has been one of the most important parts of mathematics. And the quadratic formula has been one of the most important aspects of algebraic math. There are many ways of solving a problem through this formula however you always require some tips for the best solutions. Mathematics is a subject which requires lots of practice. Also, math is known to hold an important place in all types of exams. Therefore you require some perfect tricks to solve the mathematical problems with ease and more accurately. Therefore here we will be discussing something about this.

The need for tricks  
Shortcut tricks are very important to excel in competitive examinations. These tricks will help you to manage time well and solve the problems in few easy steps. Therefore it is very important to practice some short tricks in order to get better in the subject. While practicing, you are always advised to go through the problems thoroughly. Before starting up with these, you are suggested to note down twenty problems related to quadratic equations. Now practice some problems which involve basic issues and keep track of time while doing this. This way you will be able to learn time management in a better way.

Solve a problem now
Often, one of the simplest ways of solving “ax2+bx+c=0 ” for finding the value of x is, factoring the quadratic. You should set all the factors equal to zero first. But this way of solving gets messy sometimes. Therefore to make the solution easy there is the quadratic formula. This can help you to find the solution in the best way. This formula uses “a”, “b”, and “c” from “ax2+bx+c ”, here “a”, “b”, and “c” are constants and x is a variable. These are the numerical coefficients you are given to solve. 
The formula is: for 

For the formula to work efficiently, you need to arrange the formula in the form “(quadratic) =0”. Also, “2a” in the formula is taken to be underneath anything mentioned above it. This also includes the square root.   

Example: Solve  x2 = 3x-4= 0

First of all, we will factor the quadratic equation: x2=3x-4=(x=4) (x-1)=0
Now we will try to apply the formula to solve this equation. Using a=1, b=3, and c=-4. Then the solution would look something like



Solving this further we will get: 



Further, this gets reduced to: 








Therefore we get the expected values as x=-4 or x=1.

Thus using the formula, you can complete solving the problems very easily. Therefore you may have got the best solutions for your queries in solving the quadratic equations. Thus it may be clear to you that with the use of this formula you can make the problems to be really easy.  Therefore it can be said that there are many advantages associated with the use of the quadratic formula. Also these can be applied to the problems to get the accurate solutions very easily.

Sunday, May 7, 2017

Want an Answer for Variable X?

Let me start by explaining what a variable means in mathematics. A variable is something that has its value changing constantly. One minute it is value say 10, the next minute its value has changed to some random number like 23. That is why it is called a variable; deduced from the word varying.

How to Solve for x

Now that you have understood what a variable means, let us dive in straight in to getting the values for that variable. If you do not know how to do it, you can jump into quickmath.com. There, you will find so many steps on how to solve for x.


For example, given a simple equation like the one below, 3x + 3= 0
, And you are told to solve for x
Steps that you will see at that website will be like the one I am about to show you.
Here we go,

Step 1:   You need to collect the like terms together. That is, in an equation, the set that has variables are like terms same case to those that do not have variables.
In our case, 3x will remain on the left hand side (L.H.S) while taking the 3 to the Right Hand Side (R.H.S).
You will get; 3x = 0 - 3
Remember, once a quotient crosses over to the other side of the equal sign, its + or – symbol has to be interchanged. That is why, you see +3 changing to being -3,


Step 2:  You go ahead to start simplifying it. That is, 3x = -3

Step 3:  make sure you remain with the variable on one side. Therefore, you will have to divide it by 3 like this;



When you do the division, you will find that the value of x will be -1. i.e. x = -1

Complex example

Solving variable x has its own difficulty levels. Simple equations like the one, I just illustrated above are less difficult to solve. At times, you may come across a complex equation and are told to find the value of variable x in that equation. If you know nothing, you may start sweating profusely like African pot on fire. Anyway, just wanted to let you know that there is a way you can stop this swearing before it even occurs. I will stick with quickmath.com as the best math friend you can have who will offer his relentless services to you for free.
From there, you can get to know how to solve for x in sophisticated equations like this one;

Okay, for math geniuses, I know they will say that this is a simple equation. However, not everyone agrees with them. I, for one think that this equation involves a lot of thinking. Though the equation could be cumbersome and time consuming, you will eventually land at the answer. The value for x in our case should be 1.775 having rounded it off to the nearest thousandths.
If your answer is different from mine, you need to retrace your steps and see where you went wrong.

Sunday, April 23, 2017

How to Solve a Quadratic Formula

Before even diving into any calculations, we need to know what a quadratic formula is. It is a formula one of the formulas that is being used to solve a quadratic equation. This formula always comes in handy where other formulas like factoring, completing the square method, or graphing may not really yield the expected results. It is the best and the most convenient way of solving quadratic equations. This formula was derived by Pythagoras and Euclid. They are world famous mathematicians of all time.

So, how does quadratic formula looks like?

If you have ever come across something like this: 
Then you may or may not have known that this is a quadratic equation. This formula is normally derived from the equation 
So, “x” is obviously the variable we are trying to solve, while a, b and c are just mere numbers. Actually, they are the numerical coefficient of the quadratic equation you have been given to solve.

Like for example: 
Here, the value of a will be equal to 3, while that of b will be equal to 10, and c will have a value equals to 8.


If you do not know how to solve this equation or you would like to know more on how to derive the quadratic formula, quickmath.com has a better way of helping you in understanding it. It has so many examples that you can choose to follow or ignore them if you want. But, I bet you will be the best mathematician after going through their step by step examples and doing some of the exercises that you may come across along the way.

Want to try solving an equation using quadratic formula?


We don’t have to look for some quadratic equations online. We can just use the one above.
So we know that quadratic formula is
Therefore, we will just substitute the values of the given equations here but appropriately. We will end up with something like this
This should be 


Therefore x = - 2 or x = - 1.333

If you substitute the x, in the quadratic equation, with -2 or -1.333 you will find that the final values at Right Hand Side and Left Hand Side will be equal. With this, you can use comfortable brag to your friends that you a good mathematician and that you can solve almost any quadratic equation that crisscrosses your path during exams.

For you not to forget the formula and how it works, make sure you keep practicing it almost on a daily basis. Go through many sample equations, exercises and also past papers. If you do not do this, you may end up going back to square one. If that happens, you can always redeem yourself from the website qucikmath.com.

Wish all the best in your online math classes, and good luck in your exams or Continuous Assessment Tests or any term paper you have been given by your tutor or lecturer or teacher.

Wednesday, March 29, 2017

Use the Exponent Calculator to Prepare for Exams

Are you in search for best calculator? You have best choice to do all functions of study and calculation at single time. This is very effective to solve tough questions. It takes more to calculate in notebooks. You have opportunity to save time and access online through devices and gadgets. There are various versions are available for software and you can search for compatible software are affordable for your device. There are various brands available for your selection. Companies are available to sort your desired featured to get rid of study issues. You can access fast and easily with simple interface of software. If you are going to hire best choice then consider about interface. If there is difficult interface you will definitely get problems to run it or you are hiring best features and simple interface then it work smooth. So it is quite easy for you to search for better one. When you are doing your homework you need to use smart and advanced technology to make your work easy. Today it is possible and easy to hire latest tools and advanced technology. You can find put exponent calculator in the tools of software.
Exponent Calculator
Exponent Calculator

Compatible for devices
The software you are using for your references is compatible for your device or not. There are options in software available for you and you can choose the best that your device can afford. You can select the best for android and window cell phones. May a tine interruption occur due to different in versions? And various devices are not able to support all software. So you are no more chance to face these problems. You can sort easily compatible software for your devices in large collection. You have several versions also available for updates.

Scientific calculation
You can make your efforts easy to solve large questions and tough equations by calculating at exponent calculator. If you are facing problems to count the log expressions for trigonometry functions then you have best option to get solution and getting results in seconds.
You can do various function with the help of expression available in calculator. Here are the features and benefits of calculator. You can manage for your needs.
·         Add the fractions: If you are looking to get results for adding two or numbers and large equations then this calculator perform well ad offer you to do your work in very short section of time. While working on large and tough equations you need to add fractions and equations now you can do it all at single tool.
·         Multiplication: the calculation is become easy with latest technology tools. If you have less time to prepare for exams then the software features allows you to revise fast and in best way with exponent calculator. The complicated multiplication i9n the solution take your more time in calculating. You have needed to choose calculation for large multiplication of numbers.

You can use various other expressions in the calculator according your needs. You can solve question in less time by calculation at exponent calculator.