SSC CGL 8 Aug 2017 Shift 1 Paper

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Question : 61 of 100

Marks: +1, -0

If

x+ (1 /x ) =2

, then what is the value of

x^ 64 + x^ 121

?

0
1
2
-2

Solution:

x+1/x=2

⇒

x^2+1=2x

⇒

x^2-2x+1=0

⇒

(x-1)^2=0

⇒

(x-1)=0

∴ x = 1
∴ Expression

x^ 64 + x^ 121

=(1)^64+ (1)^121

=1+1=2

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