Question

Solve the equation. x^2 − 6x − 7 = 0
A) x = 7
B) x = 1
C) x = 1 or x = −7
D) x = −1 or x = 7

Answer 1

Here is your answer

D) x= -1 or x= 7

REASON:

Given equation-

${x}^{2}-6x-7=0$

Split the middle term

${x}^{2}+x-7x-7=0$

Taking common from the terms

$x(x+1)-7(x+1)= 0$

$(x+1)(x-7)= 0$

Now,

x+1=0 or x-7=0

x= -1 or x= 7

HOPE IT IS USEFUL