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If x^2 = 2y^3 and 2y = 4, what is the value of x^2 + y?

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Manager
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Joined: 22 Mar 2012
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If x^2 = 2y^3 and 2y = 4, what is the value of x^2 + y?  [#permalink]

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New post Updated on: 24 Aug 2012, 20:39
3
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

92% (00:56) correct 8% (01:48) wrong based on 87 sessions

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If x^2 = 2y^3 and 2y = 4, what is the value of x^2 + y?

A. -14
B. -2
C. 3
D. 6
E. 18

I understand how they came to the answer. But I'm confused as to why I can't replace 2y in the first equation with 4 to get x^2 = 64. That would give the equation x^2 + y, value of 66. Please tell me what am I missing? Attaching the screenshot of the question and answer. This is from the GMAC software.

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Originally posted by KAS1 on 24 Aug 2012, 12:36.
Last edited by Bunuel on 24 Aug 2012, 20:39, edited 1 time in total.
Edited the question.
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Re: GMAC Problem  [#permalink]

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New post 24 Aug 2012, 12:49
KAS1 wrote:
If x^2 = 2y^3 and 2y = 4, what is the value of x^2 + y?

    A. -14
    B. -2
    C. 3
    D. 6
    E. 18

I understand how they came to the answer. But I'm confused as to why I can't replace 2y in the first equation with 4 to get x^2 = 64. That would give the equation x^2 + y, value of 66. Please tell me what am I missing? Attaching the screenshot of the question and answer. This is from the GMAC software.


In the equation it is \(2y^3\) and not \((2y)^3.\) Therefore \(2y^3=2*2^3=16,\) because from \(2y=4,\)we obtain \(y=2.\)
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Posts: 85
Location: United States (NY)
Concentration: General Management, Marketing
GPA: 3.1
WE: Accounting (Other)
Re: GMAC Problem  [#permalink]

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New post 24 Aug 2012, 18:04
Wow!
Thanks so much. I have to pay attention to these little things on the exam.
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Re: If x^2 = 2y^3 and 2y = 4, what is the value of x^2 + y?  [#permalink]

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New post 12 Feb 2019, 09:05
if x^2=2y^3 and 2y=4
X^2= 2(2)^3 [y=2]
X^2=2*8
X^2=16
X=4
Equation:- x^2+y
=(4)^2+2
=16+2
=18
Answer:- E

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Re: If x^2 = 2y^3 and 2y = 4, what is the value of x^2 + y?   [#permalink] 12 Feb 2019, 09:05
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If x^2 = 2y^3 and 2y = 4, what is the value of x^2 + y?

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