Stage 11 · Quadratic Equations

11.2.2 Completing the Square When the Leading Coefficient Is 1

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

Point 2 of 5

11.2.2 Completing the Square When the Leading Coefficient Is 1

Core idea

Take half of the coefficient of x, square it, and add it in, and x²+bx snaps into the perfect square (x+b/2)².

Module goal. Learn to rewrite any quadratic equation as a perfect square so you can take roots, laying the foundation for the quadratic formula.

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