If x^4-8x^2-1=0, then the value of x^6-11x^2+11/x^2-1/x^6+6 is

SSC CGL Model Paper 11

Question : 53 of 100

Marks: +1, -0

x^4-8x^2-1=0

, then the value of

x^6-11x^2+11/x^2-1/x^6+6

Solution:

x^2-1/x^2=8

x^6-1/x^6-3×8=512

x^6-1/x^6=536

=(x^6-1/x^6)-11(x^2-1/x^2)+6

=536-11×8+6

=536-88+6=454

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