Frequently Asked Questions
Everything you need to know about the Completing the Square Calculator.
How does the completing the square calculator work?
Enter the coefficients of your quadratic and it converts it to vertex form, showing every algebraic step.
Is it free?
Completely free, no sign-up, downloads, or limits.
What is vertex form?
Writing a quadratic as a(x - h)ยฒ + k, where (h, k) is the vertex of the parabola.
Does it show every step?
Yes, factoring out the leading coefficient, halving and squaring the linear term, and rewriting as a perfect square are all shown in order.
Can it find the vertex and axis of symmetry?
Yes, both are derived directly from the completed-square form.
Can it find the roots too?
Yes, the roots are solved from the vertex form and cross-checked against the quadratic formula.
What if there are no real roots?
The calculator explains clearly that the roots are complex/non-real rather than showing an error.
Does it handle fractional coefficients?
Yes, results are shown as exact fractions where possible, not rounded decimals.
Is my data stored?
No; everything runs in your browser and isn't stored or sent.
Does it work on mobile?
Yes, fully responsive on any screen size.