if x-1/x =2 find x^4+1/x^4

Question

if x minus 1 by x is equal to 2.  find x raised to power 4 plus 1 by x raised to power 4

Answer 1

x-1/x=2

(x-1/x)²=4

x²-2+1/x²=4

x2+1/x2=6

x⁴+2+1/x⁴=36

x⁴+1/x⁴=34