When (x + 2)2 = 49, does x + 2 = 7?

Question

Edwin says that when (x + 2)² = 49, that x + 2 = 7. Use complete sentences to explain whether or not Edwin is correct. Give specific details to support your answer.

Answer 1

Hi Alice,

Edwin is partially correct but not completely. When we take the square root of each side of the equation

(x+2)^2 = 49 we have to remember that (-7)^2 equals 49 just like (7)^2 does.

So the complete answer is X + 2 = 7 AND X + 2 = -7

Hope this helps.

Stay safe!

michael r.