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Question

If m+1m=5, find the value of m2+1m2.


A

23

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B

27

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C

5

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D

25

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Solution

The correct option is A

23


To find the value of (m2+1m2) apply the identity (a+b)2=a2+b2+2ab

(m2+1m2)=(m+1m)22m×1m [Here, a=m,b=1m]

Given, m+1m=5

Substituting value of m+1m=5 in the above equation,

We get m2+1m2=(5)2(2mm)

=252 [2mm=2 by cancelling m in numerator and denominator]

=23


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