# How you can tell that the quadratic function #y=x^2 +6x+15# has no real zeroes without graphing the function?

##### 1 Answer

Nov 16, 2016

When given a quadratic equation in standard form:

Check the value of the determinant:

If it is greater than zero, the equation will have two real roots.

If it is equal to zero, the equation will have one root (a.k.a. a repeated root).

If it is less than zero, the equation will have complex conjugate pair of roots.

In the case of the given equation

This equation will have a complex conjugate pair of roots