Quadratic Equation Solver

Solves equations of the form ax² + bx + c = 0

Coefficient a: Coefficient b: Coefficient c:

Result

Root 1: -

Root 2: -

The Quadratic Equation Solver is a powerful tool for finding the roots of quadratic equations of the form:

ax² + bx + c = 0

Where:

• a is the coefficient of $x^2$
• b is the coefficient of $x$
• c is the constant term

The roots of the equation are computed using the quadratic formula:

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

How to Use the Solver

1. Enter the values for the coefficients $a$, $b$, and $c$.
2. The calculator will compute the real or complex roots instantly.

Applications

• Solving algebraic equations in mathematics
• Engineering design and analysis
• Physics calculations involving parabolic trajectories

Benefits of Using the Solver

This tool quickly solves complex quadratic equations, reducing the chances of errors. It is beneficial for students, mathematicians, and engineers who frequently deal with polynomial problems.

Conclusion

The Quadratic Equation Solver provides an efficient way to find solutions to quadratic equations. Whether for academic or professional use, it ensures accurate and reliable results, enhancing understanding of polynomial behavior.