5.7 Completing the Square

Warm-up #1

Solve 3625102 xx

Warm-up #2

Solve 05122 xx

Completing the Square

If you have a problem that seems impossible to factor, one option is to turn it into a perfect square trinomial which can be more easily factored.

HOW?! Completing the square.

Completing the SquareExample 3 p.283

1a) Solve 05122 xx Not a perfect square trinomial… so turn it into one using

2

2

b

Suggested Algebra I Review p.266 Simplifying Radical Expressions

Completing the Square

1b) Solve 0442 xx

Completing the Square

1c) Solve 052 xx

5.8 – The Quadratic Formula

a

acbbx

2

42

Use this formula to find values of x when completing the square is not reasonable.

The Quadratic FormulaExample 1 p.290

1a) Solve using the quadratic formula.253 2 xx

The Quadratic Formula

1b) Solve using the quadratic formula.43 2 xx

Homework

5.7 – Completing the Squarep.285 #1-6, 13, 14, 40-42

5.8 – The Quadratic Formulap.293 #1-10, 22-24, 41-43

Algebra I Reviewp.266 – Simplifying radical expressions