Question

Solve ${(x-7)}^2-{(x+8)}^2=75$. The value of x is

• A. 3
• B. 1
• C. -3
• D. -1

Answer 1

The correct option is C -3

$(x-7{)}^2-(x+8{)}^2=75$

$(x-7-x-8)(x-7+x+8)=75$

$(-15)(2x+1)=75$

$2x+1=-5$

$2x=-6$

$x=-3$