Albert Ming

Aug 8, 2021

4 min read

Forget the Quadratic Formula… Complete the Square

An alternative and more applicable approach

Photo by Annie Spratt on Unsplash
  • x² + 4x + 4 = (x + 2)² ==> PERFECT SQUARE
  • x² + 10x + 25 = (x + 5)² ==> PERFECT SQUARE
  • x² + 14x + 50 ==> NOT A PERFECT SQUARE

Examples

  • x² + 8x + 12 = 0

Steps

Applications in Calculus

Steps

Final Remarks

Truth is ever to be found in simplicity, and not in the multiplicity and confusion of things.

-Isaac Newton