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Calculus IV
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S = contains supplemental resources

Course: Algebra III / Intermediate Algebra
Topic: Nonlinear Equations and Applications
Subtopic: Quadratic Equations II - Complete the Square

Overview

This lesson covers the third of four methods for algebraically solving a quadratic equation (the first two being factoring and the root method). The complete the square method has some pretty cool history in that it was used in antiquity to solve quadratic equations purely geometrically even before algebra was invented.

Objectives

By the end of this topic you should know and be prepared to be tested on:

Terminology

Define: perfect square trinomial, binomial squared, complete the square method of solving a quadratic equation

Supplementary Resources

Read either CTS at Math is Fun or Geometrical Approach to CTS by Shelley Walsh. (Unfortunately the Shelley Walsh site is often "down" so I'm providing a copy of the article here but the links in it likely won't work.)