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If x is a positive number and 1/2 the square root of x is equal to 2x,

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Math Expert
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V
Joined: 02 Sep 2009
Posts: 49320
If x is a positive number and 1/2 the square root of x is equal to 2x,  [#permalink]

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New post 05 Nov 2015, 12:27
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

78% (00:38) correct 22% (00:33) wrong based on 93 sessions

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P
Joined: 17 Jul 2014
Posts: 2683
Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
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Re: If x is a positive number and 1/2 the square root of x is equal to 2x,  [#permalink]

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New post 05 Nov 2015, 13:18
1
1/2 of sqrt(x) = 2x, which means that sqrt(x) = 4x
or x = 16x^2 -> divide by x
1=16x
x=1/16

A.
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Re: If x is a positive number and 1/2 the square root of x is equal to 2x,  [#permalink]

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New post 06 Nov 2015, 08:40
sqrt(x)/2 = 2x, => sqrt(x) = 4x or x = 16x^2

x=1/16

A.
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Re: If x is a positive number and 1/2 the square root of x is equal to 2x,  [#permalink]

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New post 08 Mar 2018, 11:43
Bunuel wrote:
If x is a positive number and 1/2 the square root of x is equal to 2x, then x =

A. 1/16
B. 1/4
C. 1/2
D. 2
E. 8


We can create the equation:

(1/2)√x = 2x

Squaring both sides of the equation, we have:

1/4(x) = 4x^2

x = 16x^2

1 = 16x

1/16 = x

Answer: A
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Re: If x is a positive number and 1/2 the square root of x is equal to 2x, &nbs [#permalink] 08 Mar 2018, 11:43
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