Question

Find the value of each variable by getting a quadratic equation equal to 0 first, then solve. Justify x^2 + 32 = 12x

Answer 1

x = 4 ; x = 8

Explanation:

`x^2 + 32 = 12x`

bring all the terms to one side and set equal to 0

`x^2 - 12x + 32 = 0`

factor the polynomial

`(x-8)(x-4) = 0`

set each factor equal to zero and solve

`(x-8) = 0 \\x - 8 = 0 \\x = 8`

`(x-4)=0\\x-4 = 0\\x = 4`