Question

if x is equal to 5 + 2 root 6 then find x power 4 + 1 by x power 4​

Answer 1

x = 5+2√6

1/x = 1/5+2√6= 5-2√6/25-25= 5-2√6

(x+1/x)²= (5+2√6+5-2√6)²

x²+1/x²+2=100

x²+1/x²=98

x⁴+1/x⁴+2=9604

x⁴+1/x⁴=9602