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Quadratic Equation Solver With Steps
See which method fits your quadratic and why, then follow it through to both roots.
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What this quadratic equation solver is designed for
- Factorable quadratics
- The quadratic formula and the discriminant
- Completing the square
- Real and complex roots
How to use it
- 1Enter the quadratic.
- 2Read which method was chosen and why.
- 3Check both roots at the end.
Quadratic equation problems to try
x^2 - 5x + 6 = 02x^2 + 3x - 5 = 0x^2 + 2x + 5 = 0
Quadratic equation solver FAQ
- What does the discriminant tell me?
- A positive discriminant gives two real roots, zero gives one repeated root, and a negative discriminant gives a pair of complex roots.
Continue with a related solver
Equation
Paste any equation and see how it is rearranged and solved, one justified step at a time.
Factoring
See which factoring pattern fits your expression and how it is applied.
Algebra
Enter an algebra problem and get the worked solution line by line, with a plain-English reason for every move.
Graphing
Get the key features of a function explained so the graph makes sense.
Looking for the formulas instead? Browse the formula reference.