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If $b$ and $c$ are complex constants, can they be real?

Posted 10 years ago

Let $b$ and $c$ be complex constants such that $z^2+b?z+c=0$ has two different real roots. Show that $b$ and $c$ are real.

How can they be real if they are complex constants?

POSTED BY: John Long
4 Replies
Posted 10 years ago

A real number is a complex number with an imaginary part equal to zero.

Let a complex number z = x + iy, with x,y real. The imaginary part of z is y, and z is real when y=0.

POSTED BY: Glenn Carlson
Posted 10 years ago

1+0 I = 1

POSTED BY: David Keith
Posted 10 years ago

Can you give me an example?

POSTED BY: John Long

real is a special case of complex

POSTED BY: Frank Kampas

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