How to Solve Equations using Quadratic Formula Calculator

Quadratic formula is the best and the easiest way of solving quadratic equations. Most mathematicians believe that this formula can solve even the complex quadratic equation you can think of. Then there is a quadratic formula calculator that uses the quadratic formula to solve equations. First of all a quadratic formula looks like the one below Math

Where x is the variable being solved, a, b and c being the numerical coefficients of the quadratic equation that you may come across. They literally represent any number that you can think of. The values of a, b and c could be 6, 11, and 28.

Learning the calculator through examples

If you do not know how to use the above formula, sit back and relax. But be very attentive. There is a website that you can use to learn these things. It is quickmath.com; the best online math tutoring site that anyone can access for free.

Let me show you how the site uses examples to solve quadratic equations using the quadratic formula calculator.

Example 1

Given an equation like this,  Math

It can be solved this way;

Math

Here, a equals to 10, b equals to -7, and c equals to -23

Therefore, we will get  Math

 

The final result will be Math

 

X= 1.8575 or

X=1.1575

The two answers should give you the same results. You can proof it by substituting x in the equation using any of its value we obtained here.

Example 2

Let us take a look at another example of a quadratic equation and try to solve it using the quadratic formula calculator. Remember, you can get to learn all these from http://www.quickmath.com.

An equation could be in the form of words. So, you will first have to deduce it there and form a quadratic equation then try to solve it.

Question: Solve for the value of x .if three times x squared plus two x minus eight equals to 10.

Okay, this is not a good example but was just trying to illustrate how you may come across such equations.

Forming an equation will be like Math

Using the quadratic formula of  Math

The equation will need to be simplified further since we still have some like terms that have not been grouped together. The final equation should be; Math

Therefore, an equals to 3, b equals to 2 and value of c will be -18

Math

Math

The values of x will be -2.805 and 2.14

You can use these values to ascertain that they are correct. If you did not get the above values for x, then you may have skipped some steps, and therefore the best thing you can do is to retrace your steps till the place you got lost. From there, you can start following the steps again. The good thing is that they are pretty straight forward steps.

Make sure you practice doing this regularly until you master it. Once that happens, nothing quadratic will prevent you from passing that math exam you are about to sit for.

 

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Author: doyourmath

Hello, I am Ivan Wilson. I live in San Antonio, TX, USA. I love math.

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