Question

a+1/a=1 then a3+1=?
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Answer 1

Answer:

a^2+1=a

a^2-a+1=0

a=1+root3/2

Answer 2

a³ + 1 = 0.

Given - a+1/a=1

Find - a³ + 1

Solution - Firstly multiplying the equation in question with variable 'a'.

a² + 1 = a

a² = a - 1 - equation 1

Again multiplying equation 1 with variable 'a' to find a³.

a³ = a(a - 1)

Now, from the original equation -

a - 1 = -1/a

Keep the value of (a - 1) in above equation.

a³ = a*(-1/a)

a³ = -1

Now, the value of a³ + 1

Keep the value of a³

Value = -1 + 1

Value = 0

Hence, a³ + 1 is 0.

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