Question

Which is a solution to the equation?

(x − 3)(x − 5) = 35

x = −8
x = −5
x = 2
x = 10

Answer 1

Solve (x−3)(x−5)=35:
x^2−8x+15=35 → x^2−8x−20=0.
x = [8 ± sqrt(64+80)]/2 = [8 ± 12]/2 → x = 10 or x = −2.
From the choices given, x = 10.