How do you find the zeros, real and imaginary, of #y=-x^2-2x+11# using the quadratic formula?
This equation has 2 real (irrational) solutions.
To find the zeros of a quadratic equation you use a formula:
This zeroes are:
- real and different
- real and equal
- conjugate complex numbers
If we use this rule for our function we get:
In this place we can say that the roots of the equation are real (and irrational) because
Now we are looking for
Note that we can say that this function has complex zeros (because all real numbers are also complex