Answer:
B. -2√2 - 5
C. 2√2 - 5
Explanation:
The left side of the equation is already a perfect square.
Let us factorize it first.
x²+10x+25=8
x(x+5)+x(x+5)=8
(x+5)²=8
Let us take the square roots of both sides.
x+5=±√8
But √8=±2√2
Therefore in surd form, the two solutions become:
x+5=2√2 or x+5=-2√2
Therefore x= 2√2-5 and -2√2+-5