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Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 8235
GMAT 1: 760 Q51 V42 GPA: 3.82

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Difficulty:   35% (medium)

Question Stats: 72% (01:56) correct 28% (02:16) wrong based on 92 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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Intern  B
Joined: 18 Jun 2015
Posts: 38
Re: If x^2=x+1, then x^3=?  [#permalink]

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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.
Senior Manager  S
Joined: 24 Oct 2016
Posts: 250
Location: India
Schools: IIMB
GMAT 1: 550 Q42 V28 GPA: 3.96
WE: Human Resources (Retail Banking)
Re: If x^2=x+1, then x^3=?  [#permalink]

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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  B
Joined: 29 Mar 2019
Posts: 8
Re: If x^2=x+1, then x^3=?  [#permalink]

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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
Manager  B
Joined: 24 Jul 2019
Posts: 151
Location: Austria
GPA: 3.9
Re: If x^2=x+1, then x^3=?  [#permalink]

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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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Let's get some Re: If x^2=x+1, then x^3=?   [#permalink] 24 Nov 2019, 01:47
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# If x^2=x+1, then x^3=?  