Question

Solve the quadratic equation x2 + 16x = -64 by factoring.
A. {2, 4}
B. 8
C. {-8, 8}
D. -8

Answer 1

add \(64\) and get
\[(x^2+16x+64)=0\]
this is a perfect square i.e. it is
\[(x+8)^2=0\] solve that one

Answer 2

this time there is only one solution, because if \(x+8=0\) then \(x=-8\) is the only choice