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Quadratic Equations Calculator With Steps

The quadratic calculator can calculate any quadratic equation, including an equation that has no real roots. Equation coefficients can be represented by both natural and fractional numbers, as well as a mathematical expression containing many functions and operations.


Enter the coefficients a b and c of the quadratic equation ax2 + bx + c = 0

x2 + x + = 0

What is a quadratic equation and how to solve it

An equation of the form ax 2 + bx + c = 0 is called a quadratic equation.
Solving a quadratic equation means finding its roots x1 and x2, or finding that there are no roots.
The numbers a, b, c - are called the coefficients of the quadratic equation, where a โ‰  0.
The discriminant of a quadratic equation D is expressed by the following formula D = b 2 - 4ac.
First of all, when solving a quadratic equation, it is necessary to find the discriminant.

If D > 0, then the equation has two real roots , which can be found by the formula:

If D = 0, then the roots of the quadratic equation are equal, in fact, the equation has one root , for example 9x 2 = 0. When D = 0, use the formula:

If D < 0, then the equation has no real roots and the roots of the equation can only be complex numbers , for example, 5x 2 + 6x + 7 = 0, 20x 2 + 2x + 3 = 0. When D < 0, use the formula:

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