Question

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

Answer 1

ans

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