Question

Write an absolute value equation that has the given solution of -2 and 10.

Answer 1

x² - 8x - 20

Explanation:

Given that 2 values of x

x = -2 & 10, then

x + 2 = 0

x - 10 = 0, we enclose them in s bracket, and then proceed to expanding them both, by so doing, we have

(x + 2) (x - 10) =

x² - 10x + 2x - 20 = on collecting like terms, we have something in this mould

x² - 8x - 20

Thus the equation that arises given two numbers -2 & 10 is

x² - 8x - 20 = 0