Solveeit Logo

Question

Question: The equation Z<sup>3</sup> + iZ –1 = 0 has-...

The equation Z3 + iZ –1 = 0 has-

A

Three real roots

B

One real root

C

No real roots

D

No real or complex roots

Answer

No real roots

Explanation

Solution

Sol. Suppose x is a real root.

Then x3 + ix –1 = 0

Ž x3 – 1 = 0 and x = 0

There is no real number satisfying these two equations.