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A number x is multiplied by 3, and this product is then divided by 5.

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A number x is multiplied by 3, and this product is then divided by 5.  [#permalink]

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New post 07 Mar 2016, 08:48
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79% (00:52) correct 21% (01:43) wrong based on 68 sessions

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A number x is multiplied by 3, and this product is then divided by 5. If the positive square root of the result of these two operations equals x, what is the value of x if x≠0 ?

A. 25/9
B. 9/5
C. 5/3
D. 3/5
E. 9/25

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Re: A number x is multiplied by 3, and this product is then divided by 5.  [#permalink]

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New post 07 Mar 2016, 19:57
sqrt(3x/5) to be perfect square x has to 3/5

Ans: D
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A number x is multiplied by 3, and this product is then divided by 5.  [#permalink]

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New post 07 Mar 2016, 21:15
Setup the equation from the words as follows:
\(\sqrt{3x/5}= x\)
Simplify this to:
\(0 = x(5x - 3)\)
Since we are told\(x \neq 0, x = 3/5\).

Answer: D

Also can I get some thumbs up for using the math notation right for the first time!
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A number x is multiplied by 3, and this product is then divided by 5.  [#permalink]

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New post 04 Aug 2018, 10:59
Bunuel wrote:
A number x is multiplied by 3, and this product is then divided by 5. If the positive square root of the result of these two operations equals x, what is the value of x if x≠0 ?

A. 25/9
B. 9/5
C. 5/3
D. 3/5
E. 9/25


\(\sqrt{\frac{3x}{5}} = x\)

Or, \(\frac{3x}{5} =x^2\)

Or, \(5x = 3\)

So, \(x = \frac{3}{5}\), Answer must be (D)
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A number x is multiplied by 3, and this product is then divided by 5. &nbs [#permalink] 04 Aug 2018, 10:59
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