Question

to complete the square for the equation, x²+6x-2=0, you will have to add ___ to both sides ⚪ 3⚪ 6⚪ 9⚪ 12

Answer 1

Simplify the equation.

$\begin{gathered} x^2+6x-2=0 \\ x^2+2\cdot3\cdot x-2+(3)^2=0+(3)^2 \\ (x+3)^2=9+2 \\ (x+3)^2=11 \end{gathered}$

Thus to complete the square 9 is added to both side of the equation.

Answer: 9