Quadratic Formula

To solve for $x$ in the quadratic equation $a{x}^2+bx+c=0$, use quadratic formula:

$$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$$

Where $D=b^2-4ac$ is the discriminant of the equation.

If:

• $D>0$:
  • The quadratic equation has 2 distinct real roots.
• $D=0$:
  • The quadratic equation has exactly 1 real root.
• $D=0$:
  • The quadratic equation has no real roots.
  • The roots are complex conjuages.