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^ {(x+2)} =1[/m]](https://cdn.gmatclub.com/cdn/files/forum/styles/gmatclub_light/imageset/icon_post_target_unread.svg "Suppose x is an integer such that [m](x^2 - x - 1)^ {(x+2)} =1[/m]"){kind=icon}
Updated on: 09 Oct 2015, 23:36
Originally posted by GMATinsight on 09 Oct 2015, 22:14.
Last edited by GMATinsight on 09 Oct 2015, 23:36, edited 1 time in total.
Last edited by GMATinsight on 09 Oct 2015, 23:36, edited 1 time in total.
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Suppose x is an integer such that \((x^2 - x - 1)^ {(x+2)} =1\) . How many possible values of x exist?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
https://www.GMATinsight.com
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
https://www.GMATinsight.com
09 Oct 2015, 22:15
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GMATinsight
Suppose x is an integer such that \((x^2 - x - 1)^ {(x+2)} =1\) . How many possible values of x exist?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
https://www.GMATinsight.com
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
https://www.GMATinsight.com
\((x^2 -x-1)^ {(x+2)} =1\) is possible only when
Either (x ^ 2 -x-1)=1 i.e. x = 2 or -1
OR (x+2) =0 i.e. x = -2
OR x=0
i.e. Possible values of x = 0, 2, -1 and -2
Answer: option D
Either (x ^ 2 -x-1)=1 i.e. x = 2 or -1
OR (x+2) =0 i.e. x = -2
OR x=0
i.e. Possible values of x = 0, 2, -1 and -2
Answer: option D
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10 Oct 2015, 02:50
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By substituting the values, -2,-1,0,2
Answer D
Answer D
