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  • ?Let z be a complex number such that the imaginary part of z is non -zero and a=z^2+z+1 is real , then a cannot take the value of

?Let z be a complex number such that the imaginary part of z is non -zero and a=z^2+z+1 is real , then a cannot take the value of

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Solution:

\ z^2+z+(1-a)=0\ \Rightarrow z=-1pm sqrt-1-4(1-a)/2\ \Rightarrow z=-1pm sqrt4a-3/2

Here \ a eq 3/4, otherwise  z will be purely real

Posted by

Deependra Verma

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