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Senior RC Moderator V
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What is the value of integer x ? (1) 64^(1/x) = 4 (2) x^2 = x + 6  [#permalink]

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Question Stats: 74% (01:05) correct 26% (01:11) wrong based on 84 sessions

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What is the value of integer x ?

(1) $$\sqrt[x]{64} = 4$$

(2) $$x^2 = x + 6$$

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Originally posted by SajjadAhmad on 18 Feb 2019, 12:53.
Last edited by Bunuel on 19 Feb 2019, 03:32, edited 1 time in total.
Formatted.
GMAT Tutor G
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Re: What is the value of integer x ? (1) 64^(1/x) = 4 (2) x^2 = x + 6  [#permalink]

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What is the value of integer x ?

(1) X$$\sqrt{64}= 4$$

(2) $$x^2 = x + 6$$

Is there a typo in the question?
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Re: What is the value of integer x ? (1) 64^(1/x) = 4 (2) x^2 = x + 6  [#permalink]

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What is the value of integer x ?

(1) X$$\sqrt{64}= 4$$

(2) $$x^2 = x + 6$$

getting two different values of x from 1 & 2
#1 x= 2
and #2 x=3

are the stems given correct?
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Senior RC Moderator V
Joined: 02 Nov 2016
Posts: 4069
GPA: 3.39
Re: What is the value of integer x ? (1) 64^(1/x) = 4 (2) x^2 = x + 6  [#permalink]

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IanStewart
Archit3110

Sorry to bother you please see this image, i tried to make it look like this but failed. Bunuel can definitely format it correctly.

Attachment: 1234.jpg [ 14.52 KiB | Viewed 708 times ]

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Re: What is the value of integer x ? (1) 64^(1/x) = 4 (2) x^2 = x + 6  [#permalink]

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IanStewart
Archit3110

Sorry to bother you please see this image, i tried to make it look like this but failed. Bunuel can definitely format it correctly.

Attachment:
1234.jpg

Done. Here is the code: \sqrt[x]{64} = 4
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Re: What is the value of integer x ? (1) 64^(1/x) = 4 (2) x^2 = x + 6  [#permalink]

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What is the value of integer x ?

(1) $$\sqrt[x]{64} = 4$$

(2) $$x^2 = x + 6$$

from 1 we can get the value for x as 3, since $$2^6 = 64$$

6/3 = 2, $$2^2 = 4$$

From 2) we will get a quadratic equation, when solved will give us 2 roots -2 or 3

A
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Many of life's failures happen with people who do not realize how close they were to success when they gave up. Re: What is the value of integer x ? (1) 64^(1/x) = 4 (2) x^2 = x + 6   [#permalink] 19 Feb 2019, 03:54
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