If x^2+1/x^2=38find the value of x^4+1/x^4 – InterviewSolution

1.

If x^2+1/x^2=38find the value of x^4+1/x^4

Answer»

X - 1/x)^2 = x^2 + 1/x^2 - 2

Since x^2 + 1/x^2 = 38,

(x - 1/x)^2 = 38 - 2

(x - 1/x)^2 = 36

(x - 1/x) = (36)^(1/2)

x - 1/x = 6 or -6

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