How do I find complex zeros in a an equation

Question

if the equation doesn't have the + or - value at the end can th ecomplex zero(s) be made up?
I'm getting really confused with complex zeros well zeros in general

Answer 1

I assume you are speaking of solutions in a quadratic equation

Complex solultion will be of the form
x= a+bi

Example:
x^2+x + 3=0
x= (-2 +- sqrt (1-12))/2
x= -1 +-sqrt(-11/4)
x=-1+- 0.5 sqrt(11) i
solutions 1
x= -1+.5sqrt(11) i
x= -1-.5sqrt(11) i

the imaginary part comes out of the serd, if it has a sqrt of a negative quanity you will get a complex number. If the value in the sqrt is positive, then you have a real root, not complex.
you could of course write it as complex root, such as x= 14+0i but that seems to be a little sillly, to me.
solutions

Answer 2

if you're talking about quadratics with no constant term, then they look like

y = ax^2+bx

That's just

y = x(ax+b)

and it has two real roots (0 and -b/a). No complex roots are possible.