How do you find the zeros, real and imaginary, of #y= -3x^2+3x-18 # using the quadratic formula?
The two imaginary roots of this equation are
For a quadratic equation in standard form,
We can take the equation we are given and set
The quadratic formula has the form:
If the piece under the square root sign is positive, there will be two real roots. If it is negative there may be imaginary roots.
In this case:
In this case both roots are imaginary.