Quadratic Equation (second degree) Calculator

Quadratic Equation Calculator

To find out the roots (zeros) of a second degree function, start by placing that function in canonical form (simplifying as much as possible) and making it equal to zero. After this step, you have a second degree equation where the second member is zero. To solve this equation, start by trying to identify whether it is a complete or incomplete second degree equation. The difference is quite simple. The complete second degree equation has the 3 coefficients: `a`, `b`, `c` and can be written in the form `ax^2+bx+c=0`. While in the incomplete `b` or `c` is missing or both. Then, enter the coefficients of the terms of the equation in the corresponding boxes of the calculator. This way, in addition to getting to know the zeros, you can also view the resolution step by step. If it is a complete equation, the general formula of complete second degree equations is used. If it is incomplete, the first step in solving this type of equations is to draw a common factor, since an `x` is repeated in both terms. Finally we have two factors whose result is zero, so one of the two must be 0.


If you want to perform calculations where the coefficient is a fraction, you must enter the number in decimal form.
For example, instead of `1/4` you must enter `0.25`.

Solve a (complete) quadratic equation

Example: Find the zeros (roots) of the equation `x^2 + 2x - 15 = 0`

a: b: c:   

Step-by-step resolution of the (complete) quadratic equation

Solve an incomplete second degree equation

Example: Find the zeros (roots) of the equation `4x^2 + 6x = 0`

a: b:   

Step-by-step resolution of the (incomplete) quadratic equation


Bloco de notas

Any quadratic equation can have: 2 solutions, if the discriminant (number inside the root) is greater than zero; one solution, if the discriminant is zero; no solution, if the discriminant is negative. If we are working in the universe of complex numbers, then the second-degree equation always has at least one solution.