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

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Intern
Joined: 23 Mar 2011
Posts: 26
If (x^2 – 2x – 2)/2 = 3, what is one possible value of x?  [#permalink]

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03 May 2013, 19:00
00:00

Difficulty:

15% (low)

Question Stats:

81% (00:55) correct 19% (01:21) wrong based on 71 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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Status: Far, far away!
Joined: 02 Sep 2012
Posts: 1002
Location: Italy
Concentration: Finance, Entrepreneurship
GPA: 3.8
Re: If (x^2 – 2x – 2)/2 = 3, what is one possible value of x?  [#permalink]

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03 May 2013, 22:13
1
$$\frac{x^2 - 2x - 2}{2}=3$$

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

Possible solutions x=-2 or x=4
C
Verbal Forum Moderator
Joined: 10 Oct 2012
Posts: 569
Re: If (x^2 – 2x – 2)/2 = 3, what is one possible value of x?  [#permalink]

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03 May 2013, 21:57
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.
_________________
Intern
Joined: 23 Mar 2011
Posts: 26
Re: If (x^2 – 2x – 2)/2 = 3, what is one possible value of x?  [#permalink]

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03 May 2013, 22:25
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
Re: If (x^2 – 2x – 2)/2 = 3, what is one possible value of x?   [#permalink] 03 May 2013, 22:25
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# If (x^2 – 2x – 2)/2 = 3, what is one possible value of x?

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