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

Questions
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1

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?

2

real is a special case of complex

3

Can you give me an example?

4

1+0 I = 1

5

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.