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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] New post 20 Dec 2012, 05:04
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D
E

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79% (02:06) correct 21% (01:05) wrong based on 254 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] New post 20 Dec 2012, 05:07
Expert's post
Walkabout wrote:
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}.

Answer: D.
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Re: A positive number x is multiplied by 2, and this product is [#permalink] New post 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] New post 16 Jul 2014, 23:25
Walkabout wrote:
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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