Question

Solve x^2 + 5x + 6 = 0 by completing the square.

Answer 1

\[x^2+5x+6=0\\
\left(x+\tfrac{5}{2}\right)^2-\tfrac{25}{4}+6=0\\
\left(x+\tfrac{5}{2}\right)^2=\tfrac{1}{4}\\
x+\tfrac{5}{2}=\pm\tfrac{1}{2}\\
x=-2,-3
\]