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Solving Quadratics by Completing the Square

Solving Quadratics by Completing the Square

Author: Jerome Noel
Description:

1. To solve quadratic equations by completing the square

In this lesson, you will learn how to turn one side of a quadratic equation into a perfect square trinomial.  This will make it really easy to solve the quadratic equation.  Later, we'll use this completing the square skill to develop the quadratic formula, and even later than that, completing the square will come back to haunt you when we are working with conic sections.

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Tutorial

Completing the Square, Part 1

Here's a lesson on solving a quadratic equation by completing the square. This is part 1 of 5.

Source: Jerome Noel

Completing the Square, Part 2

Part 2 of 5 video tutorial on solving a quadratic equation by completing the square.

Source: Jerome Noel

Completing the Square, Part 3

Here's part 3 of 5 video tutorial on solving quadratic equations by completing the square.

Source: Jerome Noel

Completing the Square, Part 4

And then there's this video tutorial, part 4 of 5, on solving quadratic equations by completing the square.

Source: Jerome Noel

Completing the Square, Part 5

And finally, this is part 5 of 5 video tutorial on solving quadratic equations by completing the square.

Source: Jerome Noel

Completing the Square Lesson Notes

In this lesson, we'll learn to take something that is roughly a rectangle, rearrange things a bit, maybe add some stuff, and magically turn that "rectangle" into a square.

Source: Jerome Noel

Pretty Algebra Tiles

Kind of looks like a flag. Anyway, happy cutting.

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Source: Jerome Noel

Challenge Problems

When the problems in the book are just not tough enough, give these a try.

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Source: McDougal Little Supplement