Stage 11 · Quadratic Equations

11.2.1 Revisiting the Perfect Square Formula

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

Point 1 of 5

11.2.1 Revisiting the Perfect Square Formula

Core idea

(x+m)²=x²+2mx+m² — read it backwards, and that missing m² is exactly the corner piece of the puzzle you need to fill in.

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 · 11.2.1 Revisiting the Perfect Square Formula