Question

If (x-1/x)=9 then x⁴+1/x⁴

Answer 1

Answer:

6887

Step-by-step explanation:

x-1/x=9

squaring both sides

(x-1/x)^2=9^2

x^2+1/x^2-2=81

x^2+1/x^2=83

again squaring both sides

(x^2+1/x^2)^2=83^2

x^4+1/x^4+2=6889

x^4+1/x^4=6887