Question

Solve the following question : ​

Answer 1

a/b+b/a=1

(a^2+b^2)/(ab)=1

a^2+b^2=ab

a^3-b^3=(a-b)(a^2+ab+b^2)

a^3-b^3=(a-b)(2ab)

(a^3-b^3)/(a-b)=2ab

{(a-b)(a^2+b^2)}/(a-b)=2ab

a^2+b^2=2ab

a^2-2ab+b^2=0

(a-b)^2=0