Discriminant Calculator



Note: values cannot be equal to 0




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Introduction to Discriminant Calculator

The online discriminant calculator is an online tool that is made to find the nature of roots of a quadratic equation. It uses the discriminant formula and the values of coefficients of quadratic equations to find the nature of roots. It is a simple way that can tell whether the roots are real or not.

In algebra, the quadratic equations are solved to find their solutions but the solution cannot tell you its nature. Therefore, the discriminant calculator is introduced to you so that you can find the nature of roots of the quadratic equations without solving it.

Formula used by discriminant and nature of roots calculator

The discriminant is a part of the quadratic formula to solve any polynomial of degree 2. The quadratic formula is

$$ X=\frac{-b \pm \sqrt{b^2 - 4ac}}{2a} $$

This is the same formula used by quadratic formula calculator with steps.

And the formula of discriminant is

$$ ∆\;=\;b^2\;-\;4ac$$

Where a and b are the coefficients of independent variables x and c is the constant. It is a smart and easy way to find the nature of roots of the equation ax2 + bx + c = 0. The discriminant nature of roots calculator uses this formula to determine the nature of the roots. So, it enables you to identify the nature of an equation without solving it.

Nature of Roots

For a quadratic equation ax2 + bx + c = 0, the nature of roots can be determine as

  • If ∆ < 0, then the roots are imaginary.
  • If ∆ > 0, then the roots are real and unequal.
  • If ∆ ≥ 0, then the roots are real and equal.
  • If ∆ = 0, then the roots are equal and real.

How to calculate discriminant using nature of roots of quadratic equation discriminant calculator?

You can calculate the Discriminant of any quadratic equation by using our nature of the roots calculator. All you need is to follow the given steps:

  • Enter the values of coefficients of x in boxes A and B.
  • Enter the value of the constant in the C box.
  • Or try the load example option to select example values.
  • Click on the calculate button.

The discriminant and nature of roots calculator will help you get the step-by-step nature of roots for given values within a minute.

Why use discriminant and nature of roots of quadratic equation calculator?

When solving an equation by quadratic formula or factorization method, it is important to know what type of solution it has. Therefore, it is necessary to calculate Discriminant. The discriminant calculator with steps can help you find the roots' nature without solving the equations.

While finding the nature of the roots of a quadratic equation, the students may forget which value of Discriminant is for real, equal, or unequal roots. That’s why they find it difficult to understand. It would be helpful for you if you used this tool.

Benefits of using Discriminant Quadratic Equation Calculator

The use of an online tool is always more reliable and simple than manual calculations. Because it allows you to improve your analytical skills so that you may be able to solve different examples easily. Similarly, the discriminant calculator multivariable has many benefits for you. Some of these are

  • It allows you to determine the nature of the solution for any quadratic equation without solving it.
  • It is easy to use because you need to give it input values.
  • It can save your time from manual calculations.
  • It is a free online tool that demands nothing.
  • It allows you to solve different examples so that you may clear your concept.


Why is Discriminant important?

It is important to find the nature of the solution of an equation. The Discriminant of a quadratic equation helps you find the roots' nature.

How do you find Discriminants?

You can find the Discriminant by substituting the values of a, b, and c in the formula:

What if the discriminant is negative?

If the discriminant is negative, it means that the roots are imaginary.

How to find nature of roots given discriminant calculator?

You can simply type "nature of roots calculator" on Google to get this calculator on top of SERP results. Or, you can search for online education calculators website and get this tool from here.

Alan Walker

Shaun Murphy

Last Updated March 28, 2022

A professional content writer who likes to write on science, technology and education.