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# What is the value of x? (1) 2x + 1 = 0 (2) (x + 1)^2 = x^2

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Math Expert
Joined: 02 Sep 2009
Posts: 57244
What is the value of x? (1) 2x + 1 = 0 (2) (x + 1)^2 = x^2  [#permalink]

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23 Sep 2018, 21:12
00:00

Difficulty:

5% (low)

Question Stats:

87% (00:36) correct 13% (00:29) wrong based on 100 sessions

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What is the value of x?

(1) $$2x + 1 = 0$$

(2) $$(x + 1)^2 = x^2$$

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Re: What is the value of x? (1) 2x + 1 = 0 (2) (x + 1)^2 = x^2  [#permalink]

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28 Sep 2018, 23:10
1
Time needed: 31s

Statement 1:
$$2x+1=0$$
We have an equation with one variable, which will give us only one solution --> Sufficient

Statement 2:
$$(x+1)^2 = x^2$$
The two $$x^2$$ will cancel out, leaving us with an equation with one variable. Again, there's no need for calculations since they would make us waste time. --> Sufficient

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Re: What is the value of x? (1) 2x + 1 = 0 (2) (x + 1)^2 = x^2  [#permalink]

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29 Sep 2018, 05:47
Bunuel wrote:
What is the value of x?

(1) $$2x + 1 = 0$$

(2) $$(x + 1)^2 = x^2$$

Question: What is the value of x?

Statement 1: $$2x + 1 = 0$$
$$i.e. x = -1/2$$
SUFFICIENT

Statement 2: $$(x + 1)^2 = x^2$$

i.e. $$x+1 = -x$$
i.e. $$i.e. x = -1/2$$
SUFFICIENT

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Re: What is the value of x? (1) 2x + 1 = 0 (2) (x + 1)^2 = x^2   [#permalink] 29 Sep 2018, 05:47
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