# Calculate a Quadratic Equation

Calculator for quadratic equations. Both results of the equation ax²+bx+c=0 will be calculated, for variables and numbers as input values. At *Enter variables*, the equation can be filled with any input values, those will be inserted into the quadratic formula without calculation. At *Calculate numbers*, only numbers may be entered, the results will be real or complex numbers. Complex numbers will be shown as x + yi, i is the imaginary unit √-1.

The quadratic formula, which finds the results for the quadratic equation, is x_{1,2} = ( -b ± √ b² - 4ac ) **/** 2a

The values x_{1} and x_{2} are the zeroes of the parabola which is defined by the quadratic equation. Here you can draw a parabola.

Enter variables:

Here, the values a, b and c of the quadratic formula are replaced by the bracketed input values. The formula won't be solved, but the display of the input values in the quadratic formula is a helpful step to find a result.

Example Calculate numbers:

- The parabola 2x² + 3x + 1 has zeroes at -0.5 and -1.
- The parabola 2x² + 3x + 5 has no real zeroes and two complex zeros at -0.75 + 1.392 i and -0.75 + 1.392 i.
- The normal parabola x² has a double zero at 0.