Quadratic Formula Solver
Solve quadratic equations using the quadratic formula method
Our Quadratic Formula Solver specializes in solving quadratic equations using the standard quadratic formula: x = (-b ± √(b² - 4ac)) / 2a. This AI-powered tool provides detailed step-by-step calculations, showing how to identify coefficients a, b, and c, calculate the discriminant, and determine the nature and value of roots. It clearly explains whether the equation has two real roots, one repeated root, or two complex roots. Perfect for students learning the quadratic formula, teachers demonstrating the method, or anyone who needs to solve quadratic equations using this fundamental algebraic technique.
Upload a photo of your math problem or type your question
Key Features of Our Quadratic Formula Solver
Apply quadratic formula step by step
Automatic coefficient identification
Calculate and analyze discriminant
Handle real and complex roots
Simplify radical expressions
Clear explanation of formula application
Frequently Asked Questions About Quadratic Formula Solver
Common questions about our quadratic formula solver
How does the Quadratic Formula Solver identify the coefficients?
The solver automatically identifies coefficients a, b, and c from the standard form ax² + bx + c = 0. It clearly labels each coefficient and shows how they're used in the quadratic formula.
What is the discriminant and why is it important?
The discriminant (b² - 4ac) determines the nature of roots: positive means two distinct real roots, zero means one repeated root, and negative means two complex conjugate roots. Our solver calculates and explains the discriminant in detail.
How does the solver handle the ± symbol in the formula?
The solver calculates both solutions: one using the + sign and one using the - sign. It shows both calculations separately, making it clear how each root is obtained.
Can the Quadratic Formula Solver simplify radical expressions?
Yes! When the discriminant is a perfect square, the solver simplifies the radical to provide exact solutions. For non-perfect squares, it provides both exact and approximate decimal forms.
How Our Math Solver Works
Solve any math problem in three simple steps. Our AI-powered math solver makes getting homework 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 input box. Support for LaTeX formatting for complex equations.
Add Context (Optional)
Provide additional instructions if needed. Specify what type of solution you're looking for. Ask for more detailed explanations.
Get Your Solution
Click "Solve" and watch the magic happen. Receive detailed step-by-step solutions in real-time. Copy, save, or regenerate solutions as needed.