How do I find complex zeros in a an equation

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

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

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.

To find complex zeros in an equation, you first need to check whether the equation is a polynomial equation. Complex zeros are the values of the variable that make the equation equal to zero.

Here are the steps to find complex zeros in a polynomial equation:

1. Start with a polynomial equation. A polynomial equation is an equation where the variable is raised to whole number powers only.

2. Set the equation equal to zero. This means that you want to solve for the values of the variable that make the equation equal to zero.

3. Try factoring the equation. If the equation can be factored, you may be able to find its complex zeros by setting each factor equal to zero and solving for the variable.

4. If factoring doesn't work, you can use the quadratic formula or other methods to solve for the zeros. The quadratic formula is used for quadratic equations in the form ax^2 + bx + c = 0.

5. Simplify the equation and solve for the variable. Depending on the degree of the polynomial equation, you might have multiple solutions, including real zeros and complex zeros.

Regarding your second question, if an equation doesn't have the "+" or "-" value at the end, it means it is not explicitly stated. However, it can still have complex zeros if it is a polynomial equation. The complex zeros are the solutions to the equation that make it equal to zero, regardless of whether they are explicitly mentioned or not.

It is important to note that complex zeros can be "made up" or imaginary numbers, which are numbers of the form "a + bi," where "a" and "b" are real numbers, and "i" is the imaginary unit (√-1). Complex zeros exist in pairs, with the conjugate of a complex zero also being a zero.

If you are still confused about complex zeros or zeros in general, it might be helpful to review the properties of polynomials, factoring, and solving equations. Practice with different examples and seek additional resources like textbooks, online tutorials, or consult with a math teacher or tutor for further guidance.