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If 2|x| + x^2 ≠ 0, what is the value of 1/2|x| + x^2?

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chetan2u
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If 2|x| + x^2 ≠ 0, what is the value of 1/2|x| + x^2? [#permalink] New post   13 Dec 2019, 22:30
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If \(2|x|+x^2\neq{0}\), what is the value of \( \frac{1}{2|x|+x^2}\)?


(1) \(|x|=x^2\)

(2) \(\frac{|x|}{x}>0\)


Chetan's question
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A
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gmat1393
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Re: If 2|x| + x^2 ≠ 0, what is the value of 1/2|x| + x^2? [#permalink] New post   13 Dec 2019, 22:43
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chetan2u wrote:
If \(2|x|+x^2\neq{0}\), what is the value of \( \frac{1}{2|x|+x^2}\)?
(1) \(|x|=x^2\)
(2) \(\frac{|x|}{x}>0\)


Chetan's question


\(2|x|+x^2\neq{0}\)
this implies \(x\neq{0}\)

1 => x can be -1, 0 or 1
since x cannot be 0 x can be -1 or 1
both the values give same result for \( \frac{1}{2|x|+x^2}\)

2 => \(x >=1\)

IMO, Answer is A
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QuantMadeEasy
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Re: If 2|x| + x^2 ≠ 0, what is the value of 1/2|x| + x^2? [#permalink] New post   14 Dec 2019, 02:49
chetan2u wrote:
If \(2|x|+x^2\neq{0}\), what is the value of \( \frac{1}{2|x|+x^2}\)?
(1) \(|x|=x^2\)
(2) \(\frac{|x|}{x}>0\)


Chetan's question

Absolute Value of x is required

(1) possible values of x are -1 and 1. Sufficient

(2) |x|/x>0, x can be any positive number. Insufficient

IMO A
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Re: If 2|x| + x^2 ≠ 0, what is the value of 1/2|x| + x^2? [#permalink] New post   19 Dec 2019, 08:04
gmat1393 wrote:
chetan2u wrote:
If \(2|x|+x^2\neq{0}\), what is the value of \( \frac{1}{2|x|+x^2}\)?
(1) \(|x|=x^2\)
(2) \(\frac{|x|}{x}>0\)


Chetan's question


\(2|x|+x^2\neq{0}\)
this implies \(x\neq{0}\)

1 => x can be -1, 0 or 1
since x cannot be 0 x can be -1 or 1
both the values give same result for \( \frac{1}{2|x|+x^2}\)

2 => \(x >=1\)

IMO, Answer is A


Hey, I am confused about how you derived this part:
1 => x can be -1, 0 or 1
since x cannot be 0 x can be -1 or 1
can you please elaborate?
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gmatclubot
Re: If 2|x| + x^2 ≠ 0, what is the value of 1/2|x| + x^2? [#permalink]
19 Dec 2019, 08:04
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Bunuel
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