Question

complete the square, and find the roots of the quadratic equation.

5. (4 points) x2 + 6x -16= 0

Answer 1

x = -2 or x = 8

Answer 2

complete the square like this:
\[x^2+6x-16=0\]
\[x^2+6x=16\]
\[(x+3)^2=16+9\]
\[(x+3)^2=25\]

\[x+3=5\] or
\[x+3=-5\]
\[x=2\] or
\[x=-8\]