Solving Quadratic Equations With Kalkules Calculator

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:x2 + 5x + 6 = 0

Solution

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

  3. In the displayed window, enter the quadratic equation coefficients as follows: a=1, b=5, c=6
  4. Press Calculate.
  5. Kalkules quadratic equation tool

  6. 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 2x2 - 6x + 5 = 0 has discriminant value -4 and complex roots 1.5+0.5i and 1.5-0.5i.

Kalkules quadratic equation - complex roots

Where To Get Kalkules

You can download Kalkules for free here.