Question

a+1/a=1, than a³+1=?​

Answer 1

Step-by-step explanation:

a + (1/a)=1

(LCM)

(a²+1)/a=1

Cross multiplying

a²+ 1=a

a²+1-a=0. (equation1)

We have to find

a³+1

a³+ (1)³

using algebraic Identity

x³ + y³=(x + y) (x²+y²- xy)

(a+1) a²+1-a)

by equation 1

(a+1) (0) =0

Therefore a³+1=0. (Ans)