What are the basics of quadratic formula and function, how you can solve quadratic equations. A calculator for…

\lim_{x \to \infty} \exp(-x) = 0

f(n) = n^5 + 4n^2 + 2 |_{n=17}

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Are you tired of solving quadratic equations manually? Finding discriminants could be a really boring task… Good news for you! Here you can use our cool quadratic equation calculator to immediately solve any equation of this type. It’s really simple, fast and effective. Determining the roots will be a walk in the park for you. So you can try directly using this calculator, the only thing you should do is to enter the parameters of the quadratic equation (a,b and c) and adjust the positive and negative signs. After that, just click on “Calculate” and the result will be there for you. However, If you are experiencing any problems using this tool, please check the instructions below.

X2 X
Round to the nearest thousands?Yes

1. Enter your quadratic formula and click on the button to solve it.

The Solution Will Appear Here!

About The Quadratic Equation Calculator – How to Use It

This calculator is really easy to use, but see these instruction, if something is not working properly for you.

1. The first thing you need is a quadratic equation like this one – ±ax2±bx±c=0 , where a,b and c are called parameters and are real numbers. If you don’t know what a quadratic equation is, you can read some info here.

2. Good, now you should enter the parameters of the equation (mentioned in the first step) in the empty fields created for them. For example If you have the equation: -2x-3x+5, in the first field you should enter ” -2  “, in the second  ” 3 “, and ” 5 ” in the third (without the quotes).

3. Fine, now you have to just adjust the signs in front of the parameters of the quadratic equation. The sign of the parameter in front of x2 should be entered directly, when the parameter is typed (example -2 in the first field)

4. Wow, we are done! Just press “Solve” and you will see the roots of the equation, if there are any real solutions (D>=0).
5. To see the chart of the quadratic equation, you need to solve it first and then click on it!
6. To UPDATE the chart, of the quadratic formula, enter and solve the new formula and click on the chart.

This quadratic equation solver will also factorize your equation, and you will be able to see it this way: -2(x +2.5) (x -1) , which is cool, right. I am making some efforts to make this calculator draw a chart of the quadratic function, but it’s not ready for now… Make sure that you uncheck the option “Round to the nearest thousandths?”, if you would like to see the roots not rounded to the third sign, after the coma. If there are no real solutions, you should see a message in the box below the tool, saying that the discriminant is a negative number and the quadratic equation has imaginary/s.

I think I described in details how you can use this quadratic equation calculator. But if you still have questions and having some difficulties, please feel free to contact us. We hope you finding this tool useful…

What Is Quadratic Function?

Quadratic function is a polynomial mathematical function of this type:

f(x) = ±ax2 ± bx ± c    , where  a is not equal to 0
These functions are polynomials of second degree, because the highest degree of x is 2. Quadratic functions are widely used in mathematics, because they can be used to find the solutions of various types of math problems. Its name comes from the word “quadratum” in Latin, which means square – second degree.

a, b, c are called coefficients of the quadratic function. a has to be different from 0 (zero), or the function will be of first degree and not a quadratic one.

If a quadratic function is equal to zero – ±ax2 ± bx ± c = 0, we have a quadratic equation.

Quadratic Function Graph

Example of a graph of the quadratic function -2x^2+5x+3

The graph of every quadratic function is a parabola (pic 1). The type of the parabola depends on the quadratic coefficients – a, b, c

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a – determines the direction of the parabola and its radius. Ia a>0, the direction is upward, if a<0 – the direction of the parabola is downward.

b – determines the position of the parabola, according to the y-axis

c – determines the position of the parabola, according to the x-axis

To further explore how the graph depends on the coefficients, you can use our quadratic function grapher. There you can draw quadratic charts, by just entering a,b and c. You can also use our quadratic equation calculator, where you can not only see the chart of the function, but also you can calculate more different information about it.

The maximum/minimum, or the global extrema of the parabola of any quadratic function is equal to -b / 2a . (look also at the formulas at the right side of the site).

More information on this topic will be available soon, I guess…


This is one really cool online math problem solver, with which you can find the roots of any expression (if any). Simply enter your problem in the field and click on the button to solve it. The rest will be done by our tool, just wait for several seconds.

Important note: To solve an equation with this tool, you need to write it in the appropriate form. As you can see, you have only one row, so you need to transform your problem into a one row expression. This is not that hard, you just need to use the following mathematical signs:

^ – scaling                                    * – multiplication
/ – division                                   x^1/2 = square root of x

An example for how the math problem should be formulated:    (5x^5+3x^4+5x^4+5x+8) / (3x+6)^1/2 = 3x    (you can copy and paste it to try the solver). After clicking on the button you will be able to see some detailed information about your expression like its chart, solutions and some other stuff. At the end of the post you can find the graph of this equation.

Because this site is about quadratics, is you need to solve some, you can use our powerful quadratic equation solver for them.

Math Problem Grapher

This tool will show you the graph of the mathematical functions you solve. Here is what it will show for the sample problem from above:

Math Problem Solver

Math Problem Solver

Quadratic Formulas

The Quadratic Formula

If we have an equation like:quadratic formula, the following formulas apply to it:

Roots Of A Quadratic Equation

quadratic formula roots


quadratic discriminant - roots

Quadratic Extremum Formula

quadratic extremum

Vieta's Quadratic Formulas

quadratic extremum

Factoring Quadratic Formulas

quadratic equation factoring

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