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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, 06:04
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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
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Re: A positive number x is multiplied by 2, and this product is [#permalink] New post 20 Dec 2012, 06:07
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] 20 Dec 2012, 06:07
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