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?

Answer 1

( x + 2 ) = 2

Explanation:

Theo started to solve the quadratic equation

( x+2 )² - 9 = -5

He added 9 to both sides

( x + 2 ) ² -9 + 9 = - 5 + 9

( x + 2 )² = 4

Now he took the square root of each side

`\sqrt{(x+2)^(2) } = √(4)`

`\sqrt{(x+2)^(2) } =\sqrt{2^(2) }`

( x + 2 ) = 2

Therefore, resulting equation will be ( x + 2 ) = 2

Answer 2

square root of (x+2)^2 = x+2

square root of 4 = 2

so equation will now be x+2 =2