Question

Solve. x2 – 9x = –14
Answer
A. x = –2 and x = 7
B. x = 2 and x = –7
C. x = –2 and x = –7
D. x = 2 and x = 7

Answer 1

** x^2 - 9x = -14

Answer 2

D

Answer 3

x^2 - 9x = -14
x^2 - 9x + 14 = 0
x^2 - 7x - 2x + 14 = 0
x(x - 7) - 2(x - 7) = 0
(x - 2)(x - 7) = 0
x - 2 = 0 ==> x = 2
x - 7 = 0 ==> x = 7

so,
D. x = 2 and x = 7