How do you solve a quadratic equation?

You can solve a quadratic equation by factoring, using the quadratic formula (x = (-b +/- sqrt(b^2 - 4ac)) / 2a), or completing the square. This solver automatically picks the best method and shows every step.

What if my quadratic equation has no real solutions?

When the discriminant (b^2 - 4ac) is negative, the equation has two complex solutions. The solver will show the complex roots and explain why there are no real x-intercepts.

Can this solver handle equations with leading coefficients?

Yes. It handles any quadratic of the form ax^2 + bx + c = 0, including when a is not 1. The steps will show how the leading coefficient affects the solution method.

Quadratic Equation Solver

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About Quadratic Equation Solver

Enter any quadratic equation and get a detailed, step-by-step solution. The solver automatically detects the best method — factoring for simpler equations, or the quadratic formula when needed — and walks you through each step with clear explanations. Perfect for homework help, exam prep, or brushing up on algebra.

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FAQ

Is this math solver free?

Yes! MathWhiz provides free step-by-step solutions for algebra, calculus, and matrix problems. Animated walkthroughs use 1 credit.

What types of math problems can MathWhiz solve?

MathWhiz solves linear equations, quadratic equations, systems of equations, factoring, expression simplification, derivatives, integrals, limits, matrix determinants, inverses, and eigenvalues.

How are the step-by-step solutions generated?

Solutions are generated using SymPy, a deterministic symbolic math library. Unlike AI chatbots, every answer is mathematically guaranteed to be correct.

Can I see an animated explanation of the solution?

Yes! After solving, click the animation player to watch a visual walkthrough of each step with captions explaining the operations being performed.

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