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

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

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15 Sep 2004, 04:13
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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, 08:21, edited 1 time in total.
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15 Sep 2004, 08:01
Between C and E.
E, since we may get 3 dfferent values for x.
SVP
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15 Sep 2004, 08:19
I think it is C. Can x be other than 4.
Director
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15 Sep 2004, 08:22
Sorry guys, I have justt edited the Q
S
Manager
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15 Sep 2004, 08:26
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
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15 Sep 2004, 08:40
Hi ALex,

I was wondering what values did you try? Is there any way to limit the trial numbers?
S
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15 Sep 2004, 15:08
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
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15 Sep 2004, 15:57
I got C as well

same mtd as amernassar
15 Sep 2004, 15:57
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# If X and Y are integers, what is the value of XY? (1) X^3

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