# basicsbasics of quadratics - discuss mainly about roots

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I think this topic is in the wrong area. Don't you mean to put it in math? I agree with post 2. Quad means 4. A quadratic equation has 2 roots. You can also tell this from the exponent 2.

Well, the quadratic ax^2+bx+c=0 can have maximum 2 roots.

The verdict concerning the number of roots is given by the discriminant of the quadratic.

The discriminant delta is a relation between the coefficients of the quadratic.

delta = b^2-4ac

If delta is positive, b^2-4ac>0, then the quadratic has 2 real different roots.

If delta is zero, b^2-4ac=0, then the quadratic has 2 real equal roots.

If delta is negative, b^2-4ac<0, then the quadratic has no real roots.