Completing The Square Calculator
Solves quadratic equations by completing the square method. Enter coefficients a, b, c from ax^2 + bx + c = 0 to get the vertex form and step-by-step solution.
Published by:
isCalculator Editorial Team
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How to use this tool?
How to Use the Completing the Square Calculator
This calculator transforms a quadratic equation ax² + bx + c = 0 into its vertex form: a(x − h)² + k = 0.
- Enter coefficients a, b, and c in the input fields. Use any real number (e.g., 1, -6, 5).
- Important: Coefficient a must be non-zero (e.g., 1, 2, -3).
- Click "Complete the Square".
- View the vertex form result in green, plus step-by-step working below.
Tip: Use decimals or fractions (e.g., 0.5) — the calculator handles them automatically.
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Frequently Asked Questions
Completing the square is a method used to solve quadratic equations by rewriting them in the form a(x-h)^2 + k = 0, making it easier to find the roots or vertex.
Use it when you need to convert a quadratic equation from standard form to vertex form, or when solving quadratic equations that are not easily factorable.
If a = 0, the equation is not quadratic. The calculator requires a non-zero coefficient for the x^2 term.
