Question

if (a+1/a)2 =3 and a is not equal to 0 then show that a3 +1/a3=0​

Answer 1

Answer:

a

a

(a+1a)2=3

⇒

a

a

a +1a=3

Now,

a

a

(a+1a)3

=

a

a

a

a

a3+1a3+3(a+1a)

⇒ (3)3

=

a

a

a3+1a3+3(3)

⇒

a

a

a3+1a3

= 33-33

= 0.