Question

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

Answer 1

HELLO DEAR,

(x - 1/x) = 2

[ on SQUARING both side]

we get,

=> x² + 1/x² - 2×x×1/x = 4

=> x² + 1/x² = 4 +2

=> (x² + 1/x²) = 6

[again squaring on both side]

we get,

x⁴ + 1/x⁴ + 2×x² ×1/x² = 6²

=> (x⁴ + 1/x⁴) = 36 - 2

=> (x⁴ + 1/x⁴) = 34

I HOPE ITS HELP YOU DEAR,

THANKS