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# Which of the following is a root of the equation 2x^2 − 20x = 48?

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Math Expert
Joined: 02 Sep 2009
Posts: 49231
Which of the following is a root of the equation 2x^2 − 20x = 48?  [#permalink]

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24 Aug 2018, 00:42
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Difficulty:

25% (medium)

Question Stats:

68% (01:09) correct 32% (01:34) wrong based on 36 sessions

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Which of the following is a root of the equation 2x^2 − 20x = 48?

A. -4
B. 2
C. 6
D. 8
E. 12

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Joined: 18 Jul 2018
Posts: 186
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: Which of the following is a root of the equation 2x^2 − 20x = 48?  [#permalink]

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24 Aug 2018, 00:45
2$$x^2$$ − 20x = 48 can be reduced to $$x^2$$-10x-24 = 0.

$$x^2$$-12x+2x-24 = 0

x(x-12) + 2(x-12) = 0

Either x = 12 or x = -2.

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Joined: 31 Oct 2013
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Concentration: Accounting, Finance
GPA: 3.68
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Re: Which of the following is a root of the equation 2x^2 − 20x = 48?  [#permalink]

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24 Aug 2018, 02:54
Bunuel wrote:
Which of the following is a root of the equation 2x^2 − 20x = 48?

A. -4
B. 2
C. 6
D. 8
E. 12

$$2x^2 - 20 = 48$$

$$2(x^2 - 10x) = 48$$

$$x^2 - 10x - 48 = 0$$

$$x^2 - 12x + 2x -48 = 0$$
x( x - 12) +2 ( x - 12) = 0

(x - 12) ( x + 8) = 0

Either x -12= 0 or x =12,

or

x + 2 = 0 or x = -2.

Re: Which of the following is a root of the equation 2x^2 − 20x = 48? &nbs [#permalink] 24 Aug 2018, 02:54
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