Question

if x²+1/x2=102 evaluate x³-1/x³​

Answer 1

Answer:

Step-by-step explanation:

x^2+1/x^2=102

(x-1/x)^2+2x*1/x=102

(x-1/x)^2=102-2

x-1/x=√100

x-1/x=10

(x-1/x)^3=10^3

x^3-1/x^3-3x*1/x(x-1/x)=1000

x^3-1/x^3-3(10)=1000

x^3-1/x^3-30=1000

x^3-1/x^3=1000-30

x^3-1/x^3=970