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Question

For x=23+22, if x+1x is 53+32m then m is :

A
2
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B
4
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C
8
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D
5
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Solution

The correct option is A 2
x=23+22
1x=123+22

Rationalising the denominator, we get

1x=123+22×3232

=322(32)

=322

x+1x=23+22+322

=53+322

Hence, m=2.

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