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# If n > 2 and x > 1 then: (x^n -

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Manager
Joined: 27 Sep 2008
Posts: 76
If n > 2 and x > 1 then: (x^n - [#permalink]

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27 Sep 2008, 11:29
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If n > 2 and x > 1 then:

(x^n - x^(n/2))/((x^(n/2))-1) = ?

1. X

2. x^1/2

3. x^(n/2)

4. (x^n)-1
VP
Joined: 05 Jul 2008
Posts: 1401

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27 Sep 2008, 13:18
1
KUDOS
Greenberg wrote:
If n > 2 and x > 1 then:

(x^n - x^(n/2))/((x^(n/2))-1) = ?

1. X

2. x^1/2

3. x^(n/2)

4. (x^n)-1

It is 3. Multiply & divide with( x ^ n/2 + 1 ) to simplify denominator use (a-b) (a+b) = (a^2 -b^2) . To simplify numerator multiply out the numerator.

The parentheses can get ugly and confuse. Thats why I am not posting the whol thing
Manager
Joined: 27 Sep 2008
Posts: 76

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27 Sep 2008, 14:09
The OA is indeed (3)
Manager
Joined: 22 Sep 2008
Posts: 120

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27 Sep 2008, 16:26
I got 3 .

n= 4 and x = 2

put the values and check the answer ..i got 3 , but is this right way to solve this kind of questions?

thanks
Vishal Shah
Re: PS - Exponents   [#permalink] 27 Sep 2008, 16:26
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