lf i=√−1, then the number of real roots of z3+iz−1=0 is
A
0
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B
1
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C
2
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D
3
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Solution
The correct option is B0 z3+iz−1=0 Let x be a real root of the equation. Then,
x3+ix−1=0 Since x is real, comparing real and imaginary ports ⇒x3−1=0 & x=0 ⇒x=1 & x=0 This is not possible. Hence, there are no real roots of the equation.