CMAT 2014 Solved Question Paper

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Question : 16 of 100

Marks: +1, -0

If

(x + 1/x)

= 2 , then

(x^2 + 1/x^2)

is equal to

2
4
5
6

Solution:

(a)

(x + 1/x)^2

=

x^2 + 1/x^2 + 2x⋅1/x

But

x + 1/x

= 2 ⇒

(2)^2

=

x^2 + 1/x^2 + 2

x^2 + 1/x^2

= 4 -2
⇒

x^2 + 1/x^2

= 2

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