Question

x^2+1/x^2=83 then find x^3+1/x^3=?​

Answer 1

x^2+1/x^2=83

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

x-1/x=9

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

729+3x-1/x=x^3-1/x^3

x^3-1/x^3=729+3 (x-1/x)

=729-27

=702

Answer 2

X^2+1/x^2=83

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

x-1/x=9

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

729+3x-1/x=x^3-1/x^3

x^3-1/x^3=729+3 (x-1/x)

=729-27

=702

so your answer is 702