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# A positive number x is multiplied by 2, and this product is

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A positive number x is multiplied by 2, and this product is [#permalink]  20 Dec 2012, 05:04
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80% (02:03) correct 20% (01:17) wrong based on 341 sessions
A positive number x is multiplied by 2, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x ?

(A) 9/4
(B) 3/2
(C) 4/3
(D) 2/3
(E) 1/2
[Reveal] Spoiler: OA
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Re: A positive number x is multiplied by 2, and this product is [#permalink]  20 Dec 2012, 05:07
Expert's post
A positive number x is multiplied by 2, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x ?

(A) 9/4
(B) 3/2
(C) 4/3
(D) 2/3
(E) 1/2

Given that: $$\sqrt{\frac{2x}{3}}=x$$ --> $$\frac{2x}{3}=x^2$$ --> $$x(3x-2)=0$$ --> $$x=0$$ (dscard since we are told that x is a positive number) or $$x=\frac{2}{3}$$.

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GMAT 1: 750 Q48 V46
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GRE 1: 327 Q161 V166
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Re: A positive number x is multiplied by 2, and this product is [#permalink]  22 May 2014, 12:50
Given Sqrt(2x/3)=x => 2x/3 = x^2
Since, x#0 we can divide both sides by x, so x=2/3
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Re: A positive number x is multiplied by 2, and this product is [#permalink]  16 Jul 2014, 23:25
A positive number x is multiplied by 2, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x ?

(A) 9/4
(B) 3/2
(C) 4/3
(D) 2/3
(E) 1/2

2 in the numerator; 3 in the denominator

Answer $$= \frac{2}{3}$$ = D
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Re: A positive number x is multiplied by 2, and this product is   [#permalink] 16 Jul 2014, 23:25
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