Quadratic Equation Solver
? Frequently Asked Questions
What is a quadratic equation?
A quadratic equation has the form ax² + bx + c = 0, where a ≠ 0. It represents a parabola and has at most two solutions (roots) where the parabola crosses the x-axis.
How does the quadratic formula work?
The formula x = [-b ± √(b² - 4ac)] / (2a) solves any quadratic equation. The ± symbol means there are two solutions, one using + and one using -, corresponding to where the parabola intersects the x-axis.
What's the discriminant?
The discriminant is b² - 4ac. If positive, there are two real solutions; if zero, one repeated solution; if negative, two complex (imaginary) solutions. It determines the nature of the roots.
Can it handle complex solutions?
Yes! When the discriminant is negative, the solver provides complex number solutions in the form a + bi, where i is the imaginary unit (√-1). These represent points not on the real number line.
Does it show the step-by-step solution?
Many solvers display the solution process: showing a, b, c values, calculating the discriminant, plugging into the formula, and simplifying. This helps you learn the method and verify calculations.
Is my data safe and secure?
Yes, absolutely! This tool runs entirely in your browser. All data processing happens locally on your device - nothing is uploaded to our servers. Your files and data never leave your computer, ensuring complete privacy and security.