Interesting queries on the Quadratic formula calculator!

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What are the steps to use the quadratic equation calculator?

Allcalculator.net's The quadratic equation is a polynomial with the highest exponent, which should be 2.  The standard form of the quadratic equation is Ax2 + Bx + C = 0.

Here are the steps to use the quadratic equation calculator are:

  • Enter the coefficients of the equation in the required input fields with the given statements.
  • Click on the button to solve the quadratic equation to get the exact result

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  • In the final steps, you can find the result for the roots of the quadratic equation, which will be displayed in the output fields.

The basic quadratic formula is:

 X = -b ± √b2 – 4ac / 2a

This above formula is used to solve all the quadratic equations where a ≠ 0 with a polynomial order of 2.

ax2 + bx + c = 0

Enter the equation for real and complex roots in the calculator to determine the discriminant (b2 – 4ac), which is less than, greater than or equal to 0.  

  • When b2 – 4ac = 0, there is no real roots
  • When b2 – 4ac > 0, there are two real roots
  • When b2 – 4ac < 0, there are two complex roots

What are the types of quadratic equations?

There are three types of quadratic equations which are discussed below:

Standard form 

It is a quadratic equation which is given by ax^2 + bx + c = 0 

where a, b, and c are constants and x is a variable. 

Vertex form 

The Vertex form of a quadratic equation is given by a*(x - h) ^2 + k

A h and k are constants, and (h, k) is the vertex of the parabola

Factored form

The factored form of a quadratic equation is given by a*(x - r1) (x - r2)

Where a, r1, and r2 are constants and r1 and r2 are the roots or solutions of the quadratic equation

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