Quadratic Calculator

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Quadratic equations are the second degree polynomial equations is in the form of ax^2+bx+c=0. By using

quadratic calculator we can solve second degree polynomial equations. Here in this we have two basic

methods like Factoring method or Quadratic formula method. Form the quadratic equation ax^2+bx+c =0, we

have to solve for x value.



Example 1: Solve for x value by using factoring method.

x^2 -15x+56 =0


Solution steps:

Given equation is in ax^2+bx+c=0 form.

Product of terms =56

Sum of terms = -15x

Rewrite the product of terms and sum of terms as shown below

Product of terms = -7 * -8 =+56

Sum of terms = -7x -8x =-15x

x^2-7x-8x+56 =0

Factor out the like terms form above equation

x(x-7)-8(x-7) =0

(x-7)(x-8)=0

Form this x-7 = 0 and x-8=0.

So x=7, 8 is answer.



Example 2: Solve for x value by using factoring method.

4x^2 – 64 =0


Solution steps:

Given equation is in the form of a^2-b^2= (a+b) (a-b)

Rewrite the given equation as (2x)^2 –(8)^2 =0

(2x+8)(2x-8) =0

2x+8 =0 and 2x-8 =0

2x =-8 and 2x =8

x=-4 and x =4.

So x=-4, 4 is answer.


 

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