# How do you find the zeros, real and imaginary, of #y=-x^2-2x+11# using the quadratic formula?

##### 1 Answer

This equation has 2 real (irrational) solutions.

#### Explanation:

To find the zeros of a quadratic equation you use a formula:

This zeroes are:

- real and different
#iff Delta>0# - real and equal
#iff Delta=0# - conjugate complex numbers
#iff Delta<0#

To calculate

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