The quadratic formula is used to find the roots of a quadratic equation. The quadratic equation must be in the form [math]y = ax^2 + bx +c[/math]. The terms in [math]y = ax^2 + bx +c[/math] must be in the exact order shown.[br][br]The quadratic formula is [math]x= \frac{-b\pm\sqrt{b^2-4ac}}{2a}[/math].[br][br]Move sliders [math]a[/math], [math]b[/math] or [math]c[/math]. [br]Slider [math]a[/math] is the coefficient in the term [math]ax^2[/math].[br]Slider [math]b[/math] is the coefficient in the term [math]bx[/math].[br]Slider [math]c[/math] is the constant term (also the coefficient in the term [math]cx^0[/math]).[br][br]When the quadratic intersects the [math]x[/math]-axis, the quadratic has real number roots. Real numbers roots can happen in two ways. A quadratic intersect the [math]x[/math]-axis at two points, or a quadratic intersects the [math]x[/math]-axis at one point. [br][br]When the quadratic does not intersect the [math]x[/math]-axis, the quadratic has imaginary number roots.