If X^4+1/X^4=23 then the value of [X-1/X]^2will be

RRB NTPC Mains or Stage 2 Model Paper 3 with solutions

Question : 18 of 120

Marks: +1, -0

X^4+1/X^4=23

then the value of

[X-1/X]^2

will be

Solution:

X^4+1/X^4=23

[X^2+1/X^2]^2=23

X^2+1/X^2=5

[X^2-1/X^2]^2=X^2+1/X^2-2=5-2=3

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