Stage 11 · Quadratic Equations

11.2.3 Completing the Square When the Leading Coefficient Isn't 1

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

Point 3 of 5

11.2.3 Completing the Square When the Leading Coefficient Isn't 1

Core idea

First factor out a (divide everything by a) to leave the squared term bare, then fill in the corner and complete the square as usual.

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 · 11.2.3 Completing the Square When the Leading Coefficient Isn't 1