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# If integers p, q and r are the roots of the equation

Author Message
Manager
Joined: 13 May 2017
Posts: 112
Location: Finland
Concentration: Accounting, Entrepreneurship
GMAT 1: 530 Q42 V22
GMAT 2: 570 Q36 V31
GPA: 3.14
WE: Account Management (Entertainment and Sports)
If integers p, q and r are the roots of the equation  [#permalink]

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23 Nov 2018, 07:29
1
00:00

Difficulty:

25% (medium)

Question Stats:

79% (01:08) correct 21% (01:34) wrong based on 28 sessions

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If integers p, q and r are the roots of the equation $$x^3$$-7$$x^2$$+12x = 0, and p < q < r, what is the value of $$(r/q)^p$$?

A. 0
B. 1/3
C. 1
D. 3
E. 4
Manager
Joined: 17 Mar 2018
Posts: 69
Re: If integers p, q and r are the roots of the equation  [#permalink]

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23 Nov 2018, 08:32
1
Im going with Ans C.

$$x^3 -7x^2+12x$$ = 0
=$$x(x^2-7x+12)$$=0
x(x-3)(x-4)=0
x= 0;3;4.
Since
p<q<r, p=0, q=3, r=4

$$(\frac{4}{3})^0$$= 1
Re: If integers p, q and r are the roots of the equation   [#permalink] 23 Nov 2018, 08:32
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