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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

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by Vincen » Sun May 03, 2020 11:51 am
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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


[spoiler]OA=D[/spoiler]

Source: Official Guide
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Re: A positive number \(x\) is multiplied by 2, and this product is then divided by 3. If the positive square root of th

by swerve » Sun May 03, 2020 12:28 pm
Vincen wrote: ↑
Sun May 03, 2020 11:51 am
 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


[spoiler]OA=D[/spoiler]

Source: Official Guide
Asked: What is the value of \(x\)?

\(\sqrt{\dfrac{2x}{3}}=x\)
\(\dfrac{2x}{3}=x^2\)
\(x = \dfrac{2}{3}\)

Therefore, D
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