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Quadratic Formula Calculator


What is the Quadratic Equation?

A typical equation which can be rearranged in its standard form is called quadratic equation. In quadratic equation the a, b & c represent known numbers while x represent unknown number.

What is Quadratic Formula?

The quadratic formula provides solutions to polynomial equation where a, b and c are known values. "a" is the quadratic coefficient, "b" is the linear coefficient and "c" is a constant.

Also learn about distance formula & calculations of standard deviation on our website.

What are Quadratic Roots?

The solution of quadratic equation formulas is also called roots. Quadratic roots can also be seen as the x-intercepts of the quadratic function.

What is Parabolas?

A parabola has a plain curve of U shape in the graph of a quadratic function. A parabola having minimum or maximum extreme points are called the vertex. Parabola's graphical representation of the quadratic equation is below.

Quadratic Formula Calculator

For specific calculations related to area and length, try our trapezoid area calculator & arc length calculator free online.

What is the Discriminant in Math?

A quantity of an polynomial equation which depends on the function of coefficients to find the different properties of the roots. It is defined as the polynomial function of its coefficients.

What is the Discriminant formula?

Discriminant doesnot have its own discriminant formula instead, it is present under square root of the quadratic formula. While calculating, discriminant tells us how many solutions we have.

Our quadratic equation calculator can also be used as discriminant calculator as it tells the values of discriminant math accurately.

For related calculations, use cross product calculator or learn how to calculate limits?.

How to solve Quadratic Equations?

You can learn how to solve quadratic equations below:

  • ax2 + bx +c = 0
  • Multiply both sides by 4a,
  • 4ax2 + 4abx + 4ac = 0
  • Subtract 4ac from both sides,
  • 4ax2 + 4abx = -4ac
  • Add b2 to both sides,
  • 4a2x2 + 4abx + b2 = 0
  • Since
  • (m + n)2 = m2 + 2mn + n2
  • Complete the square on the left slide,
  • (2ax + b)2 = b2 – 4ac= D
  • Take square roots,
  • 2ax +b = ± √D
  • 2ax= -b ± √D
  • And divide by 2a, we get
  • x = −b ± √(b2 − 4ac) / 2a = Quadratic Formula

You can also use our log calculator & antilog calculator for your learning and calculations related to logarithm & antilogarithm.

What is Quadratic Formula Calculator?

It can be a difficult task to do manual calculations to solve quadratic equations if your concepts are not clear. For the purpose one can use quadratic formula calculator.

Quadratic calculator is an online tool which can be used by anyone for free. So if you are looking for how to solve a quadratic equation, our quadratic equation calculator is best option for you.

How to use Quadratic Formula Calculator?

The quadratic formula calculator is very easy to use. You just need to add your values in the 3 inputs of the quadratic equation calculator.

Once you entered the values, click on the "CALCULATE" button and our quadratic calculator will instantly show you the answer.

We care about the opinions of the users, please give us a review and feedback in order for us to assess our working. Meanwhile you can also use our other math related calculators like Integral calculator & Derivative calculator.

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Amber Jha
Good help