Real & Complex RootsVisual ParabolaInstant Solution

How It Works

1

Enter Coefficients

Input values for a, b, and c.

2

View Solutions

See roots, discriminant, and vertex.

3

Analyze Graph

View the parabola shape and direction.

Frequently Asked Questions

What is a quadratic equation?
A quadratic equation has the form ax² + bx + c = 0 where a is not zero. It produces a parabola when graphed.
What are complex roots?
When the discriminant (b²-4ac) is negative, the equation has no real roots. Instead it has two complex conjugate roots involving the imaginary unit i.
What is the vertex of a parabola?
The vertex is the highest or lowest point of the parabola. Its x-coordinate is -b/(2a).
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About Quadratic Solver

What this tool does

General-purpose calculators cover percentages, dates, time differences, BMI, tips, taxes, salaries, loans, compound interest, and dozens of everyday math problems. Results are computed instantly in the browser.

Why use this tool

Quick calculations come up constantly: splitting a bill, figuring out how many days until a deadline, converting an hourly rate to an annual salary. Having a purpose-built calculator is faster and less error-prone than a spreadsheet.

How it works

Each calculator applies the relevant mathematical formula to your inputs. Financial calculators use standard amortization and compound-interest equations. Date calculators leverage JavaScript's Date object with timezone-aware arithmetic.

Pro tip

For loan and mortgage calculations, small changes in interest rate matter more than you think. Try adjusting the rate by 0.25% to see how it affects total interest paid over the life of the loan.

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