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If (x^2 – 2x – 2)/2 = 3, what is one possible value of x?

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If (x^2 – 2x – 2)/2 = 3, what is one possible value of x?  [#permalink]

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New post 03 May 2013, 20:00
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A
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C
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E

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Question Stats:

80% (00:55) correct 20% (01:21) wrong based on 68 sessions

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If \(\frac{x^2 – 2x – 2}{2} = 3\), what is one possible value of x?


A) -4

B) -3

C) -2

D) 2

E) 3


I know this is a rather simple problem that I came across online, but I cannot seem to figure out the best/quickest way to solve it. I don't have the answer, but any help would be greatly appreciated!

~ Im2bz2p345 :)
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Re: If (x^2 – 2x – 2)/2 = 3, what is one possible value of x?  [#permalink]

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New post 03 May 2013, 23:13
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\(\frac{x^2 - 2x - 2}{2}=3\)

\(x^2- 2x - 2=6\)
\(x^2 - 2x - 8=0\)
\((x-4)(x+2)=0\)

Possible solutions x=-2 or x=4
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Re: If (x^2 – 2x – 2)/2 = 3, what is one possible value of x?  [#permalink]

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New post 03 May 2013, 22:57
Im2bz2p345 wrote:
If

x2 – 2x – 2
-------------- = 3
2

what is one possible value of x?

A) -4

B) -3

C) -2

D) 2

E) 3


I know this is a rather simple problem that I came across online, but I cannot seem to figure out the best/quickest way to solve it. I don't have the answer, but any help would be greatly appreciated!

~ Im2bz2p345 :)


\(x^2-2x-2 = 6\)

or\(x^2-2x+1 = 9\)

or \((x-1)^2 = 9\)

(x-1) = 3 or -3

Thus, x = 4 OR -2.
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Re: If (x^2 – 2x – 2)/2 = 3, what is one possible value of x?  [#permalink]

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New post 03 May 2013, 23:25
Zarrolou wrote:
\(\frac{x^2 - 2x - 2}{2}=3\)

\(x^2- 2x - 2=6\)
\(x^2 - 2x - 8=0\)
\((x-4)(x+2)=0\)

Possible solutions x=-2 or x=4
C


Thanks for the help vinaymimani & Zarrolou!

I was mistakenly adding the 6 to the -2 instead of subtracting, so I kept getting x^2 - 2x + 4.. thereby making the problem way more complex than needed, lol. It must have been late!

Appreciate the quick followups,

~ Im2bz2p345 :)
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Re: If (x^2 – 2x – 2)/2 = 3, what is one possible value of x?   [#permalink] 03 May 2013, 23:25
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