Question

Solve the equation: x^2 - 6x = 7

A. x = 7 , 1
B. x = -7 , 1
C. x = 7 , -1

Answer 1

`{x}^(2) - 6x = 7 \\ {x}^(2) - 6x - 7 = 0 \\ {x}^(2) + x - 7x - 7 = 0 \\ x(x + 1) - 7(x + 1) = 0 \\ (x + 1)(x - 7) = 0 \\ \boxed{x = - 1} \\ \boxed{ x = 7}`

Answer 2

x^2 - 6x = 7
(x - 7)(x + 1)= 0
x = 7, - 1

The answer is: x = 7, -1.