A.5 Methods for Solving Equations Failures are finger posts on the road to achievement. -C. S. Lewis.

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Presentation transcript:

A.5 Methods for Solving Equations Failures are finger posts on the road to achievement. -C. S. Lewis

Solving Quadratic Equations: GCF Solve the equation.

Solving Quadratic Equations: Factoring Solve the equation.

Solving Equations: Factoring Solve the equation.

Solve ANY Quadratic If a quadratic can’t be factored. There are two methods that can be used to solve any quadratic equation: 1. Completing the Square 2. Quadratic Formula

Completing the Square (a = 1) Step 1: Move c to the other side Step 2: Add to both sides Step 3: Rewrite the left side as the perfect square Step 4: both sides and solve!

Completing the Square (a ≠ 1) Solve the equation.

Equations in Quadratic Form The following equation resembles quadratic form. Let’s solve it!

Equations in Quadratic Form How can we solve this equation without multiplying it out?

Solving Rational Equations Practice with your groups! Pg 998 #82, 86, 88, 90, 110 Practice with your groups! Pg 998 #82, 86, 88, 90, 110

A.5 Methods for Solving Equations Failures are finger posts on the road to achievement. -C. S. Lewis Homework #5: p.998 #81 – 89 Odd #93-97 odd #105 & 109 (complete the square and quadratic formula)