Question

if a + (1/a)= 1 , then a³+ 1= ?​

Answer 1

Step-by-step explanation:

a+(1/a)=1

a^2+1=1

a^2=0

i.e.a=0

a^3+1=0^3+1=1

Answer 2

QuesTion

If a+(1/a)=1 , then a³ + 1 = ?

SoluTion

we have,

→a + (1/a) = 1

(taking LCM)

→(a²+1)/a = 1

(cross multiplying)

→ a² + 1 = a

→ a²+ 1 - a = 0 ..........equation(1)

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.)