Quadratic Equation Calculator
Solve quadratic equations using the quadratic formula with step-by-step solutions
Our Quadratic Equation Calculator is a powerful tool designed to solve quadratic equations of the form ax² + bx + c = 0. Using the quadratic formula, our AI-powered calculator provides instant solutions with detailed step-by-step explanations. It calculates the discriminant to determine the nature of roots (two real roots, one repeated root, or two complex roots), shows all intermediate steps, and can also solve by factoring or completing the square when applicable. Perfect for students learning algebra, teachers demonstrating solving methods, or anyone who needs to solve quadratic equations quickly and accurately.
Upload a photo/PDF of your math problem or type your question
Key Features of Our Quadratic Equation Calculator
Solve quadratic equations using quadratic formula
Calculate and analyze discriminant
Handle real and complex roots
Alternative solving methods (factoring, completing square)
Step-by-step solution process
Clear explanations of each step
Frequently Asked Questions About Quadratic Equation Calculator
Common questions about our quadratic equation calculator
How is the quadratic formula applied?
The platform applies x = (-b ± √(b² - 4ac)) / 2a. It shows each step including identifying coefficients a, b, and c, calculating the discriminant, determining the nature of roots, and computing the final solutions.
What does the discriminant indicate?
The discriminant (b² - 4ac) determines the nature of roots: if positive, there are two distinct real roots; if zero, there is one repeated root; if negative, there are two complex conjugate roots. The platform explains this clearly.
Can it solve by factoring?
Yes! When a problem can be factored easily, the platform may show the factoring method as an alternative approach, demonstrating different ways to solve the same problem.
Can it handle complex roots?
Yes! The platform can handle all types of problems, including those with complex roots. It provides solutions in both real and complex number formats as needed.
What input formats are accepted?
You can input in standard form (ax² + bx + c = 0), factored form, or vertex form. The platform will recognize and solve them appropriately.
Is there a cost?
No! The platform is completely free to use. Solve unlimited problems without any cost or registration required.
How Our Math Calculator Works
Calculate any math problem in three simple steps. Our AI-powered calculator makes getting math help easier than ever.
Upload or Type Your Problem
Take a photo of your math homework or screenshot a problem. Or type your equation using our easy-to-use calculator input box. Support for LaTeX formatting for complex equations.
Add Context (Optional)
Provide additional instructions if needed. Specify what type of calculation you're looking for. Ask for more detailed explanations.
Get Your Calculation
Click "Calculate" and watch the magic happen. Receive detailed step-by-step calculations in real-time. Copy, save, or regenerate solutions as needed.