What is the set of all solutions to the equation square root of (x+2) = -x?

A) (-1,2) B) (-1), C) (2), D) There are no solutions.

Answer is (-1), but why won’t (-1,2) work? Square root of (2+2) = √4 = +/- 2, right?

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Posts Tagged: extraneous solutions

# What is the set of all solutions to the equation square root of (x+2) = -x?

What is the set of all solutions to the equation square root of (x+2) = -x?

A) (-1,2) B) (-1), C) (2), D) There are no solutions.

Answer is (-1), but why won’t (-1,2) work? Square root of (2+2) = √4 = +/- 2, right?