Question

What method of solving a quadratic equation is shown​ here? A set of expressions shows the solution of the quadratic equation shown on line 1. Line 2 shows an equivalent expression of two factors. Line 3 show two separate equations with each factor set equal to zero. Line four show two solutions for the value of x. A. Quadratic formula B. Factoring C. Grouping

Answer 1

Factoring

Explanation:

When we are solving a quadratic equation by the factorization method, each factor is set as being equal to zero.

The solution of each bracket of factors gives the root of the quadratic equation.

For example;

x2 + 16 = 10x

We now have;

x2 - 10x + 16 = 0

x2 - 8x - 2x + 16 = 0

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

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

(x-2) = 0

Then x = 2

Or

(x-8) = 0

x = 8

Hence;

x = 2 or x= 8