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# What is the value of X 3 (cubic) - 2X 2 (square) + 7 (1) 3X

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VP
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What is the value of X 3 (cubic) - 2X 2 (square) + 7 (1) 3X [#permalink]

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24 May 2004, 11:03
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What is the value of X3(cubic) - 2X2(square) + 7
(1) 3X3(cubic) - X = 2
(2) X3(cubic) = 1

Is this data sufficient? (the right number of X means power)

the answer is D, why choice one is data sufficient?

thank you
SVP
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24 May 2004, 11:11
A) 3X^3 - x = 2
X( 3x^2-1) = 2 The only solution to this equation is x = 1

B) is very obvious where x = 1
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24 May 2004, 13:33
In A x can be equal only to 1, thus A is sufficient
And B is obvious.
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24 May 2004, 20:53
chunjuwu wrote:
why choice one is data sufficient?

3x^3 - x - 2 = 0
3-1-2 = 0

(x-1)(3x^2 + 3x + 2) = 0

3x^2+3x+2 > 0, for all real values of x.

Therefore, the said equation has *only one* real solution.

chunjuwu, no tricks in this question, eh?
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