Question

If x-1/x =3, find the values of x²+1/x²and x⁴+ 1/x⁴​

Answer 1

Answer:

x^2+1/x^2=(x-1/x)^2+2x.1/x

=(3)^2+2=9+2=11

x^4+1/x^4=(x^2+1/x^2)^2-2x^2.1/x^2

=(11)^2-2=121-2=119