Bhaskara Calculator

How the Bhaskara's Formula Calculator Works

A second-degree equation is an algebraic expression that includes an unknown variable 𝑥 squared, along with first-degree terms and an independent term. The standard form of a second-degree equation is ax² + bx + c = 0, where a, b, and c are real numbers and 𝑎 ≠ 0. Solving a second-degree equation involves finding the values of 𝑥 that satisfy this equality, known as roots or solutions of the equation.

There are several methods to solve a second-degree equation, such as factoring, completing the square technique, or applying Bhaskara's formula. Bhaskara's formula is the most widely used because it allows finding the roots of any second-degree equation, whether complete or incomplete. The formula is given by:

(-b ± √Δ) / (2a)

Where 𝑥 is the unknown variable, a, b, and c are the coefficients of the equation, and Δ (Delta) is the discriminant, calculated by:

Δ = b² - 4ac

The value of Δ determines the number and type of roots of the equation. If Δ > 0, the equation has two distinct real roots. If Δ = 0, the equation has one real double root. If Δ < 0, the equation has two complex roots.

To simplify the calculation of the roots of a second-degree equation, you can use our Bhaskara's formula calculator. This calculator solves equations of the form ax² + bx + c = 0, displaying the step-by-step resolution. To use it, simply enter the values of a, b, and c in the corresponding fields and click "Calculate". The Bhaskara's formula calculator will show the value of Δ and the roots of the equation.