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# If x^2=x+1, then x^3=?

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 8425
GMAT 1: 760 Q51 V42
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12 Sep 2016, 16:50
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Difficulty:

35% (medium)

Question Stats:

71% (01:57) correct 29% (02:17) wrong based on 103 sessions

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If x^2=x+1, then x^3=?
A. 3x+2
B. 3x-2
C. 2x+1
D. 2x-3
E. 3x+4

*An answer will be posted in 2 days.

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Joined: 18 Jun 2015
Posts: 38
Re: If x^2=x+1, then x^3=?  [#permalink]

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12 Sep 2016, 17:25
3
1
MathRevolution wrote:
If x^2=x+1, then x^3=?
A. 3x+2
B. 3x-2
C. 2x+1
D. 2x-3
E. 3x+4

*An answer will be posted in 2 days.

Given X^2 = X+1
X^3 = X*X^2 = x*(X+1)-- Substituted from above.
= X^2 + X = X+1+X = 2X+1.

Hence C.
Manager
Joined: 24 Oct 2016
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Location: India
Schools: IIMB
GMAT 1: 550 Q42 V28
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Re: If x^2=x+1, then x^3=?  [#permalink]

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09 Jan 2017, 07:07
if we put x=0 then only we get x^2=x+1 so the option c satisfies it and x^3=2x+1
Intern
Joined: 29 Mar 2019
Posts: 8
Re: If x^2=x+1, then x^3=?  [#permalink]

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11 Nov 2019, 13:28
x^2=x+1
Multiplying x both side -

x^3=x^2+x
Or,x^3=x+1+x
Or,x^3= 2x+1(Ans)

Posted from my mobile device
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Joined: 24 Jul 2019
Posts: 166
Location: Austria
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Re: If x^2=x+1, then x^3=?  [#permalink]

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24 Nov 2019, 01:47
taniab0406 wrote:
x^2=x+1
Multiplying x both side -

x^3=x^2+x
Or,x^3=x+1+x
Or,x^3= 2x+1(Ans)

Posted from my mobile device

why x^3 either x^2 + x or x + 1 + x ?

Can you explain that please, question seems super easy but I am missing something.
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Re: If x^2=x+1, then x^3=?   [#permalink] 24 Nov 2019, 01:47
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