Quadratic Equation Solver
Solve quadratic equations with the quadratic formula, factoring, or completing the square and understand each step.
What this calculator does
A quadratic equation has the form ax^2+bx+c=0 with a not equal to zero. AIMath can identify a suitable method, calculate the roots, and explain whether they are real or complex.
Solve this with AIMath
Use AIMath's AI Math Solver for the full problem, step-by-step reasoning, images, and follow-up questions. Your selected topic will be prefilled on the solver page.
Solve with AI Math SolverWhy use AIMath?
- Compare factoring with the quadratic formula.
- Understand the discriminant and what it says about the roots.
- Check a handwritten equation from an image or typed input.
How to use this calculator
- Open AI Math Solver from this page.
- Enter the equation in standard form or upload a clear image.
- Ask for the method you prefer, such as factoring or the quadratic formula.
- Substitute the roots back into the equation to verify them.
Worked example
Solve x^2-5x+6=0.
- Find two numbers whose product is 6 and sum is -5.
- Factor the equation as (x-2)(x-3)=0.
- Set each factor to zero.
Result: x=2 or x=3.
Supported inputs
- Quadratic equations in standard form
- Factoring, completing-the-square, and discriminant questions
- Images of algebra homework with clear notation
Limitations
- The page is an AI Math Solver entry point and does not contain a separate local solver.
- Make sure the equation and exponent notation are unambiguous.
Frequently asked questions
What is the quadratic formula?
For ax^2+bx+c=0, the roots are (-b ± sqrt(b^2-4ac))/(2a).
What does the discriminant tell me?
The value b^2-4ac indicates whether the equation has two real roots, one repeated real root, or complex roots.
Can AIMath solve a quadratic from a photo?
Yes. Upload a clear image and verify the interpreted equation before asking for the solution.
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