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Question

If x+1x=2, then x2+1x2 is equal to :
  1. 2
  2. 4
  3. 0
  4. 6

A
2
B
6
C
0
D
4
Solution
Verified by Toppr

Given, x+1x=2.

On squaring both side, we get,
(x+1x)2=4.

We know, (a+b)2=a2+b2+2ab.

x2+(1x)2+2(x)(1x)=4
x2+1x2=42=2.

Therefore, option A is correct.

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