Question

If a + 1/a = 1 , then a^3 + 1 = ?

Answer 1

Step-by-step explanation:

a+1/a=1....given

a=1-1/a

a=1a-1/a

Taking cube of both sides

a^3=1a^3-3a^2+3a-1/a^3

Therefore

a^3+1=1a^3-3a^2+3a-1/a^3+1

a^3+1 =1a^3-3a^2+3a-1+1a^3/a^3

a^3+1=2a^3-3a^2+3a-1/a^3