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If 4 is one solution of the equation x^2 + 3x + k = 10

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Re: If 4 is one solution of the equation x^2 + 3x + k = 10 [#permalink] New post 06 May 2012, 08:38
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

88% (02:06) correct 12% (00:31) wrong based on 25 sessions
sravanth wrote:
If 4 is one solution of the equation x^2 + 3x + k = 10, where k is a constant, what is the other solution?

A. –7
B. –4
C. –3
D. 1
E. 6


Since x=4 is one of the solutions then substitute 4 for x: 4^4+3*4+k=10 --> k=-18.

So, we have x^2+3x-18=10 --> x^2+3x-28=0 --> (x+7)(x-4)=0 --> x=-7 or x=4.

Answer: A.
[Reveal] Spoiler: OA

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Re: If 4 is one solution of the equation x^2 + 3x + k = 10   [#permalink] 06 May 2012, 08:38
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