x2 − 6 x + 7 = −2

Question

Solve the equation by rewriting it in factored form and using the zero product property. Show your reasoning. 

Answer 1

x^2 -6x + 7 = -2

add 2 to both sides

x^2 -6x + 9 = 0

factor

(x-3)^2 = 0 or

(x-3)(x-3) = 0

set the factor = 0

x-3 = 0

add 3 to both sides

x= 3