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Question

If x+1x=2, then x2+1x2 is equal to:

A
2
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B
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C
4
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D
6
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Solution

The correct option is A 2

Given, x+1x=2.

Now,

(x+1x)2=x2+1x2+2(x)(1x)

(2)2=x2+1x2+2

x2+1x2=42=2

x2+1x2=2.

Therefore, option A is correct.


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