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Senior Manager  Joined: 21 Oct 2013
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If x is a negative number, what is the value of x?  [#permalink]

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Difficulty:   5% (low)

Question Stats: 83% (00:47) correct 17% (00:55) wrong based on 179 sessions

HideShow timer Statistics If x is a negative number, what is the value of x?

(1) x^2 = 1
(2) x^2 + 3x + 2 = 0
Math Expert V
Joined: 02 Sep 2009
Posts: 55804
Re: If x is a negative number, what is the value of x?  [#permalink]

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If x is a negative number, what is the value of x?

(1) x^2 = 1 --> x=-1 or x=1. Since we are given that x is a negative number, then x=-1. Sufficient.

(2) x^2 + 3x + 2 = 0 --> (x + 1)(x + 2) = 0 --> x=-1 or x=-2. Two values. Not sufficient.

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Re: If x is a negative number, what is the value of x?  [#permalink]

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Focusing on phrase " x is a negative number" is important otherwise we may choose incorrect answer.
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Re: If x is a negative number, what is the value of x?  [#permalink]

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goodyear2013 wrote:
If x is a negative number, what is the value of x?

(1) x^2 = 1
(2) x^2 + 3x + 2 = 0

From stem we know that X is negative. Looking for the value of X.

1) x^2=1
x=1 or x=-1 Because the stem tells us that X is negative, we know that x=-1 and therefore this statement 1 sufficient.

2) x^2+3x+2
can be simplified to (x+1) (X+2) which means X=-1 or x=-2 Not sufficient because we have two negative answer choices.
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Re: If x is a negative number, what is the value of x?  [#permalink]

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_________________ Re: If x is a negative number, what is the value of x?   [#permalink] 06 Jun 2019, 06:02
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