If $|n + 5| = 5$ , what is the value of $n$ ?

(1) $n^2$ is not equal to $0$ .
(2) $n^2 + 10n = 0$ .

Correct answer marked below

Statement (1) ALONE is sufficient

Correct

Statement (2) ALONE is sufficient

BOTH statements TOGETHER are sufficient

EACH statement ALONE is sufficient

Statements (1) and (2) TOGETHER are NOT sufficient

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Explanation

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Comments

Noel1h ago

wait, statement 1 says n^2 is not 0... so n isn't zero. but both of my solutions from the equation... hmm does that eliminate one of them?

Jobjust now

which values did you get for n? check which one makes n^2 = 0

Melissajust now

ohhh got it, one of them is literally 0. so (1) knocks it out. thanks!

NandhuJun 8

kinda tricky for a 505-555, the trap in statement 2 got me ngl

ChahatJun 20

same, I picked C at first lol

What this question tests

Your ability to manipulate linear and quadratic expressions, substitute unknowns, and solve equations under time pressure.

Losing a sign when moving terms across the equals sign, or dividing both sides by a variable that could equal zero.

If ∣n+5∣=5|n + 5| = 5∣n+5∣=5, what is the value of nnn?(1) n2n^2n2 is not equal to 000.(2) n2+10n=0n^2 + 10n = 0n2+10n=0.