Complex NumbersHard
Question
Let z be a complex number such that the imaginary part of z is nonzero and a = z2 + z + 1 is real. Then acannot take the value
Options
A.- 1
B.
C.
D.
Solution
Given equation is z2 + z + 1 - a = 0
Clearly this equation do not have real roots if
D < 0
⇒ 1 - 4(1 - a) < 0
⇒ 4a < 3
Clearly this equation do not have real roots if
D < 0
⇒ 1 - 4(1 - a) < 0
⇒ 4a < 3
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