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.