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# If X and Y are integers, what is the value of XY? (1) X^3

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Director
Joined: 08 Jul 2004
Posts: 604
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Kudos [?]: 82 [0], given: 0

If X and Y are integers, what is the value of XY? (1) X^3 [#permalink]  15 Sep 2004, 03:13
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14. If X and Y are integers, what is the value of XY?

(1) X^3 â€“ 3X^2 â€“ 2X â€“ 8 = 0.

(2) 4 + 3Y = 2Y + 8

My aplogies folks, there are powers to x not coefficient.
S

Last edited by saurya_s on 15 Sep 2004, 07:21, edited 1 time in total.
Director
Joined: 20 Jul 2004
Posts: 593
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Kudos [?]: 48 [0], given: 0

Between C and E.
E, since we may get 3 dfferent values for x.
SVP
Joined: 16 Oct 2003
Posts: 1815
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Kudos [?]: 50 [0], given: 0

I think it is C. Can x be other than 4.
Director
Joined: 08 Jul 2004
Posts: 604
Followers: 2

Kudos [?]: 82 [0], given: 0

Sorry guys, I have justt edited the Q
S
Manager
Joined: 02 Apr 2004
Posts: 224
Location: Utrecht
Followers: 1

Kudos [?]: 13 [0], given: 0

I would say C.

st.1
x can be only 4 (I tried some values, so I hope this is correct).
Alone not sufficient

st.2
y is 4
Alone not sufficient

Together we can find the value of xy.

Please correct me if I am wrong.

Regards,

Alex
Director
Joined: 08 Jul 2004
Posts: 604
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Kudos [?]: 82 [0], given: 0

Hi ALex,

I was wondering what values did you try? Is there any way to limit the trial numbers?
S
Manager
Joined: 07 Sep 2004
Posts: 61
Followers: 1

Kudos [?]: 1 [0], given: 0

For the first one

x^3-3x^2-2x-8 = 0

(x-4)(x^2 +x+2) = 0

x = 4 or x^2+x+2 = 0 this quadratic equation has no solution since the discriminant is negative

so Our only solution is x = 4

That is why C is the right answer
Director
Joined: 05 May 2004
Posts: 577
Location: San Jose, CA
Followers: 2

Kudos [?]: 35 [0], given: 0

I got C as well

same mtd as amernassar
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