Stage 11 · Quadratic Equations

11.2.4 Solving an Equation Fully by Completing the Square

11.2 Completing the Square: Reshaping the Equation into a Perfect Square

Point 4 of 5

11.2.4 Solving an Equation Fully by Completing the Square

Core idea

Once you've shaped it into (x+m)²=k, take the square root directly, and the plus and minus branches give your two roots, step by step.

Module goal. Learn to rewrite any quadratic equation as a perfect square so you can take roots, laying the foundation for the quadratic formula.
eastmath.com · 11.2 Completing the Square: Reshaping the Equation into a Perfect Square · 11.2.4 Solving an Equation Fully by Completing the Square