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.