In this tutorial, you will learn how to find discriminant and roots of a quadratic equation with Kalkules.

## Problem

Find discriminant and roots of quadratic equation:`x`^{2} + 5x + 6 = 0

## Solution

- Open Kalkules and select Tools/Quadratic equation from the main menu.

- In the displayed window, enter the quadratic equation coefficients as follows:
`a=1, b=5, c=6`

- Press Calculate.

- The results are displayed in the bottom half of the window. In this example, the discsriminant (D) is 1 and the roots (x1, x2) are -3 and -2.

## Quadratic Equations With Complex Roots

Some quadratic equations have a negative discriminant, which means the roots of the equation are complex numbers. In this case, the roots will be calculated as complex numbers.

For example, quadratic equation `2x`^{2} - 6x + 5 = 0

has discriminant value `-4`

and complex roots `1.5+0.5i`

and `1.5-0.5i`

.

## Where To Get Kalkules

You can download Kalkules for free here.