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

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Math Expert
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If 4 is one solution of the equation x^2 + 3x + k = 10 [#permalink]

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06 May 2012, 09:38
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84% (02:17) correct 16% (01:38) wrong based on 155 sessions

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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: 4^2+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.

[Reveal] Spoiler: OA

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Re: If 4 is one solution of the equation x^2 + 3x + k = 10 [#permalink]

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19 Jan 2015, 06:25
Bunuel wrote:
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.

Hi Bunuel,

Shouldn't the equation be "4^2+3*4+k=10" and not "4^4+3*4+k=10".
Math Expert
Joined: 02 Sep 2009
Posts: 38894
Followers: 7737

Kudos [?]: 106178 [0], given: 11608

Re: If 4 is one solution of the equation x^2 + 3x + k = 10 [#permalink]

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19 Jan 2015, 06:29
tarikk wrote:
Bunuel wrote:
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.

Hi Bunuel,

Shouldn't the equation be "4^2+3*4+k=10" and not "4^4+3*4+k=10".

Clearly it was a typo. Edited. Thank you.
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Posts: 38894
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Kudos [?]: 106178 [0], given: 11608

Re: If 4 is one solution of the equation x^2 + 3x + k = 10 [#permalink]

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19 Jan 2015, 06:30
OPEN DISCUSSION OF THIS QUESTION IS HERE: if-4-is-one-solution-of-the-equation-x2-3x-k-10-where-139119.html
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Re: If 4 is one solution of the equation x^2 + 3x + k = 10   [#permalink] 19 Jan 2015, 06:30
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