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If x is not equal to y and if √x = y, what is the value of y

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Manager
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Joined: 16 Mar 2016
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If x is not equal to y and if √x = y, what is the value of y [#permalink]

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New post 22 Jun 2016, 13:28
Question : y^3 = x^(3/2) = ? we need x to answer

(1) x=y^x, and from the question we know that x=y^2, so x=2, Sufficient

(2) x^3 = 8, x=2, Sufficient

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Re: If x is not equal to y and if √x = y, what is the value of y [#permalink]

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New post 17 Aug 2017, 22:36
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Re: If x is not equal to y and if √x = y, what is the value of y [#permalink]

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New post 08 Sep 2017, 20:05
kamalkicks wrote:
If x is not equal to y and if \(\sqrt{x}=y\), what is the value of \(y^3\) ?

(1) \(x = y^x\)

(2) \(x^3 = 8\)



can somebody explain how 1 is sufficient. i am getting confused...help


Easy. Always try to simplify the stimulus- manipulate the equations in their given form in a granular more clear way.

\sqrt{x}=y - square both sides
x=y^2

St 1

Substitute. Y^2=y^x

suff

St 2

X must be 2- there is no ambiguity since y is to an odd power

D

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Re: If x is not equal to y and if √x = y, what is the value of y   [#permalink] 08 Sep 2017, 20:05

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