Question 80192
Hello there,

In quadratic equations, if the discriminant (Δ = b^2 - 4ac) is:

Δ > 0 - This quadratic will have 2 roots, otherwise known as x intercepts.

Δ = 0 - This quadratic will have a double root. That is, both roots will be the   same, thus, you get the x co-ordinate of the vertex.

&#916; < 0 - You will not get a real solution, but a complex solution. If you have not covered complex numbers yet, then just understand that there will be no x-intercepts since the quadratic does not touch the x axis. 

Now, if your discriminant is negative, under which of the three cases will negative discriminants fall?

Be sure to write back if you need more help.