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# If x^2 + 2x − 24 = 24, which of the following is a potential value of

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Joined: 02 Sep 2009
Posts: 52285
If x^2 + 2x − 24 = 24, which of the following is a potential value of  [#permalink]

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13 May 2018, 20:24
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Difficulty:

15% (low)

Question Stats:

80% (00:47) correct 20% (00:59) wrong based on 63 sessions

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If x^2 + 2x − 24 = 24, which of the following is a potential value of x?

A. -6
B. 0
C. 4
D. 6
E. 8

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Manager
Joined: 05 Jan 2014
Posts: 71
Location: India
GMAT 1: 610 Q47 V26
GPA: 3.76
WE: Information Technology (Computer Software)
Re: If x^2 + 2x − 24 = 24, which of the following is a potential value of  [#permalink]

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13 May 2018, 20:36
Solving the quadratic equation:
x^2 + 2x − 48 = 0
x^2 + 8x - 6x - 48 = 0
x*(x+8) -6*(x + 8) = 0
x = -8 or 6
Hence, Answer is D
Manager
Joined: 30 Jul 2014
Posts: 130
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Re: If x^2 + 2x − 24 = 24, which of the following is a potential value of  [#permalink]

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14 May 2018, 07:04
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Re: If x^2 + 2x − 24 = 24, which of the following is a potential value of  [#permalink]

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14 May 2018, 07:14
Bunuel wrote:
If x^2 + 2x − 24 = 24, which of the following is a potential value of x?

A. -6
B. 0
C. 4
D. 6
E. 8

I have tried an easier way to solve this question.

$$x^2 + 2x − 24 = 24$$

$$x^2 + 2x = 24 + 24$$

x (x+2) = 48.

Substitute each option.
Clearly 6 (6+2) = 48. x =6

Ans - D

Please let me know if I am missing anything.
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Re: If x^2 + 2x − 24 = 24, which of the following is a potential value of  [#permalink]

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14 May 2018, 07:46
Bunuel wrote:
If x^2 + 2x − 24 = 24, which of the following is a potential value of x?

A. -6
B. 0
C. 4
D. 6
E. 8

$$x^2 + 2x - 48 = 0$$

Or, $$x^2 + x(8 - 6) - 48 = 0$$

Or, $$x^2 + x - 6x - 48 = 0$$

Or, $$x(x + 8) - 6(x + 8)= 0$$

Or, $$(x - 6)(x + 8) = 0$$

Or, x = 6 and x = -8, Thus Answer must be (D)
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Re: If x^2 + 2x − 24 = 24, which of the following is a potential value of  [#permalink]

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14 Jul 2018, 18:13
Bunuel wrote:
If x^2 + 2x − 24 = 24, which of the following is a potential value of x?

A. -6
B. 0
C. 4
D. 6
E. 8

Simplifying the equation, we have:

x^2 + 2x - 48 = 0

(x + 8)(x - 6) = 0

x = -8 or 6

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Re: If x^2 + 2x − 24 = 24, which of the following is a potential value of &nbs [#permalink] 14 Jul 2018, 18:13
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# If x^2 + 2x − 24 = 24, which of the following is a potential value of

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