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Yahoo!
 3 years ago
Let z be a complex number such that imaginary part of z is non zero and a=z^2+z+1 is real then a cannot take the value?
Yahoo!
 3 years ago
Let z be a complex number such that imaginary part of z is non zero and a=z^2+z+1 is real then a cannot take the value?

This Question is Closed

mukushla
 3 years ago
Best ResponseYou've already chosen the best response.1z=x+iy evaluate the value of a in terms of x and y

Yahoo!
 3 years ago
Best ResponseYou've already chosen the best response.0x^2 + 2xiy  y^2 + x + iy + 1 = a

mukushla
 3 years ago
Best ResponseYou've already chosen the best response.1\(y\neq0\) and\[2xy+y=0\]right?

mukushla
 3 years ago
Best ResponseYou've already chosen the best response.1because a is a real number

mukushla
 3 years ago
Best ResponseYou've already chosen the best response.12xy+y=0 and \(y\neq0\) so\[2x+1=0\]

mukushla
 3 years ago
Best ResponseYou've already chosen the best response.1do u know why \(y\neq0\)

Yahoo!
 3 years ago
Best ResponseYou've already chosen the best response.0if y=0 then imaginary part becomes 0

mukushla
 3 years ago
Best ResponseYou've already chosen the best response.1\[x=\frac{1}{2}\]so a becomes\[a=\frac{3}{4}y^2\]am i right?

mukushla
 3 years ago
Best ResponseYou've already chosen the best response.1so whats the value that a can not take considering \(y\neq0\) clearly\[a\neq\frac{3}{4}\]we are done :)
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