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

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

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New post 24 Aug 2018, 00:42
1
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

70% (01:10) correct 30% (01:27) wrong based on 84 sessions

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Re: Which of the following is a root of the equation 2x^2 − 20x = 48?  [#permalink]

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New post 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.

E is the answer.
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Re: Which of the following is a root of the equation 2x^2 − 20x = 48?  [#permalink]

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New post 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.

The best answer is E.
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Re: Which of the following is a root of the equation 2x^2 − 20x = 48?  [#permalink]

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New post 25 Feb 2019, 18:24
Afc0892 wrote:
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.

E is the answer.


Hello Afc0892 !

Is it possible to solve it by Viete's theorem?

-b/a?
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Re: Which of the following is a root of the equation 2x^2 − 20x = 48?  [#permalink]

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New post 25 Feb 2019, 18:38
we can quickly put the value of root in equation and see which one satisfy this


12 is correct.

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Re: Which of the following is a root of the equation 2x^2 − 20x = 48?  [#permalink]

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New post 02 Mar 2019, 10:10
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


Dividing the equation by 2, we have:

x^2 - 10x = 24

x^2 - 10x - 24 = 0

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

x = 12 or x = -2

Answer: E
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Re: Which of the following is a root of the equation 2x^2 − 20x = 48?   [#permalink] 02 Mar 2019, 10:10
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Which of the following is a root of the equation 2x^2 − 20x = 48?

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