Discriminant

Discriminant

The formula $x = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}$ gives the solutions to the general quadratic equation $ax^2+bx+c=0$. By examining the expression under the square root sign, $b^2-4ac$, we known as the discriminant, symbol used is $\Delta$. The quadratic formula becomes $x=\dfrac{-b + \sqrt{\Delta}}{2a}$ and $x=\dfrac{-b - \sqrt{\Delta}}{2a}$. $\Delta 0$ If the discriminant is positive there are [...]