Question

For what value of x is the square of the binomial x+1 one hundred and twenty greater than the square of the binomial x-3?

Answer 1

x = -14

Explanation:

(x+1)² + 120 = (x-3)²

expand each binomial:

x² + 2x + 1 + 120 = x² -6x + 9

combine 'like terms' to simplify:

8x = -112

x = -14