The general form of the quadratic equation is :
[tex]ax^2+bx+c=0[/tex]The discriminant is :
[tex]D=b^2-4\cdot a\cdot c[/tex]And the general solution is :
[tex]x=\frac{-b\pm\sqrt[]{D}}{2\cdot a}[/tex]So, there are 3 situations for D
1. D = 0
So, the roots of a quadratic equation are two similar roots
2. D > 0
so, roots of a quadratic equation are two different roots
3. D < 0
so, roots of a quadratic equation are not real, two comlex roots
