Question

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

Answer:

x+2=±2

Step-by-step explanation:

Here the original equation was:

$(x+2)^{2}-9=-5$

Then Theo added 9 to both the sides to get,

$(x+2)^{2}=4$

After this he took square root of each side,

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

So this simplifies to

x+2=±2

Answer 2

Answer:  option B

(B)  x + 2 = ±2

Step-by-step explanation: