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