Completing the Square for Pre-Calculus

Quadratic equations are written in many different formats, depending on what the current application is. Completing the square is helpful when you’re writing conics in their standard form, and you can use this method to solve for the solutions of a quadratic equation. Here’s how to solve for x in the quadratic equations ax² + bx + c = 0 and 2x² +7x ‒ 15 = 0 by completing the square: