Question

evaluate x⁴+1/x⁴ if x-1/x=6

Answer 1

Hey Dear!

Hope it help you.....

Answer 2

Answer:

x^4+1/x^4=1442

Step-by-step explanation:

x-1/x=6

By squaring both sides

(x-1/x)^2=(6)^2

x^2+2x*1/x+(1/x)^2=36

x^2+1/x^2-2=36

x^2+1/x^2=36+2=38

Again squaring both sides,

(x^2+1/x^2)^2*1/x^2*x^2=38^2

x^4+1/x^4+2=1444

x^4+1/x^4=1444-2

x^4+1/x^4=1442