MATH CALCULATOR
Completing the Square Calculator
Practice completing the square with our interactive math calculator tool.
What is the Completing the Square Calculator & How does it work?
Completing the square is a method used to solve quadratic equations of the form ax2 + bx + c = 0. The goal is to rewrite the equation in the form (x + h)2 = k, where h and k are constants.
To complete the square, follow these steps: 1) Divide all terms by a (the coefficient of x2). 2) Move the constant term to the right side of the equation. 3) Add the square of half the coefficient of x to both sides. 4) Factor the left side as a perfect square trinomial.
To complete the square, follow these steps: 1) Divide all terms by a (the coefficient of x2). 2) Move the constant term to the right side of the equation. 3) Add the square of half the coefficient of x to both sides. 4) Factor the left side as a perfect square trinomial.
ax2 + bx + c = 0
a = coefficient of x2, b = coefficient of x, c = constant term
Parameters
Result—
Frequently Asked Questions
How do I use the completing the square calculator?
Enter your quadratic equation in the form ax2 + bx + c = 0, then click ‘Calculate’. The tool will show you the steps to complete the square and solve for x.
What is completing the square?
Completing the square is a method to rewrite a quadratic equation in the form (x + h)2 = k, which helps in solving for x easily.
Can I use this calculator for any quadratic equation?
Yes, you can use it for any standard quadratic equation of the form ax2 + bx + c = 0, where a ≠ 0.
What are the steps involved in completing the square?
Divide all terms by a, move the constant term to the right side, add (b/2a)² to both sides, and factor the left side as a perfect square trinomial.
Why is completing the square useful?
Completing the square is useful for solving quadratic equations, finding the vertex of a parabola, and converting equations from standard form to vertex form.
Results are for informational purposes only and do not constitute professional advice.