MAT 150 – Algebra Class #9 Topics: Solving Quadratics by Factoring Square Root Completing the Square Quadratic Formula Solving quadratics having complex.

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MAT 150 – Algebra Class #9 Topics: Solving Quadratics by Factoring Square Root Completing the Square Quadratic Formula Solving quadratics having complex solutions

Ways to Solve a Quadratic Equation 1.The Quadratic Formula 2.The Square Root Method 3.Factoring a.GCF b.Two Binomials c.Difference of 2 Squares

The QUADRATIC FORMULA *In order for the quadratic formula to work, the equation MUST EQUAL 0! The Quadratic Formula will find all x-values in any quadratic equation. On a graph, these would be the x-intercepts (zeros, roots). This method will work for ALL quadratic equations!

Solve with the Quadratic Formula

Square Root Method

Solve with Factoring

Ex 4: Complex Solutions

Ex 5: Solve the Quadratic Equations Try to check your solutions on the graphing calculator. What do you notice about the graphs of these functions that is different from the other quadratic functions?

Discriminant

Body-Heat Loss

Market Equilibrium

Assignment Pg #1-3 all #23-25 all #31-33 all #36-38 all #47-48 all #52, 53, 56, 59, 67