Quadratic Formula

Quadratic Equation Calculator

Posted on | January 1, 2012 | 1 Comment

Are you tired of calculating quadratic equations manually? Finding discriminants could be really boring… Good news for you! Here you can use our 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.

The Solution Will Appear Here!

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).
IMPORTANT
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 queations and having some difficulties, please feel free to contact us. We hope you fring this tool useful…

Quadratic Function

Posted on | January 1, 2012 | No Comments

Quadratic Function

Quadratic function is a polynomial mathematical function of this type:

f(x) = ±ax² ± bx ± c , where a ? 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

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 extremum 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…