Theo started to solve the quadratic equation (x + 2)2 – 9 = –5. He added 9 to both sides and the resulting equation was

Question

(x + 2)2 = 4. Next, he took the square root of each side.

Which was the resulting equation of that step?

x + 2 = ±4
x + 2 = ±2
x + 2 = ±8
x + 2 = ±16

Answer 1

After Theo added 9 to both sides, he simplified the equation to \((x + 2)^2 = 4\). When he takes the square root of both sides, we have:

\[ \sqrt{(x + 2)^2} = \sqrt{4} \]

This results in:

\[ x + 2 = \pm 2 \]

So the correct resulting equation from that step is:

x + 2 = ±2.