Question

if x+1/x=3 then find out the value of x⁶+1/x⁶​

Answer 1

Answer:

x^6+1/x^6

=(x^3)^2+(1/x^3)^2

=(x^3+1/x^3)^2-2.x^3.1/x^3

={(x+1/x)^3-3x1/x(x+1/x)}^2-2

={3^3-3.3}^2-2

=(27-9)^2-2

=18^2-2

=324-2

=322