SSC CGL 1 Sep 2016 Paper

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Question : 58 of 100

Marks: +1, -0

If a +

1/a

= 2 , then the value of

(a^5+1/a^5)

will be

0
1
3
2

Solution:

a +

1/a

= 2 ⇒

a^2

+ 1 = 2a
⇒

a^2

- 2a + 1 = 0
⇒

(a-1)^2

= 0
⇒ a - 1 = 0 ⇒ a = 1
∴

a^5+1/a^5

= 1 + 1 = 2

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