Bhaskara Calculator

How the Bhaskara calculator works

The Bhaskara calculator is a helpful mathematical tool for solving quadratic equations in the standard form ax² + bx + c = 0. By using the well-known Bhaskara formula (also called the quadratic formula), the calculator finds the roots (solutions for x) quickly and accurately.

Instead of solving by hand, you simply enter the values for a, b, and c, and the calculator will automatically compute delta (Δ) and the possible real roots x₁ and x₂ — or inform you if no real solution exists.

What is the Bhaskara formula?

The Bhaskara formula is used to solve any quadratic equation. It works by calculating the discriminant, known as delta (Δ), and then substituting the result into the formula:

x = (-b ± √Δ) / 2a,
where Δ = b² - 4ac

Depending on the value of Δ:

• Δ > 0: two distinct real roots

• Δ = 0: one repeated real root

• Δ < 0: no real roots (complex solutions)

This method is widely taught in algebra and is foundational for understanding quadratic functions.

How to use the calculator

To use the Bhaskara calculator, provide the following inputs:

• a: coefficient of x²

• b: coefficient of x

• c: constant term

The calculator will then display:

• Delta (Δ)

• Roots x₁ and x₂ (if real)

• Step-by-step solution

Real example

Let’s solve the equation x² - 5x + 6 = 0, where:

• a = 1

• b = -5

• c = 6

Now apply the formula:

• Δ = (-5)² - 4 × 1 × 6 = 25 - 24 = 1

• x₁ = (5 + √1) / 2 = 6 / 2 = 3

• x₂ = (5 - √1) / 2 = 4 / 2 = 2

Result: x₁ = 3 and x₂ = 2

When should you use this calculator?

This tool is ideal for:

• Solving math problems involving quadratic equations

• Checking answers in homework or exams

• Practicing algebra step-by-step

• Learning how to apply the formula correctly

It’s especially useful for students in middle school, high school, and even early college math courses.

Benefits of the tool

• Fast and accurate results

• No manual calculations needed

• Displays delta and root values clearly

• Identifies when no real solution exists

It helps students, teachers, and anyone dealing with algebra simplify their workflow.

Conclusion

The Bhaskara calculator is a simple yet powerful tool for solving second-degree equations. Whether you’re studying, revising, or just verifying your math, this calculator delivers clear and reliable results in seconds.

Just enter the values, and instantly see whether your equation has real roots, what the delta is, and how the formula was applied. It’s an essential companion for mastering quadratic equations.