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Sec 8: Solving Quadratic Equations with the Quadratic FormulaPowerPoint Presentation

Sec 8: Solving Quadratic Equations with the Quadratic Formula

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Sec 8: Solving Quadratic Equations with the Quadratic Formula

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Sec 8: Solving Quadratic Equations with the Quadratic Formula

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Sec 8: Solving Quadratic Equations with the Quadratic Formula

Learning Target: Students will solve quadratic equations using the quadratic formula in mathematical and real-world situations and use the determinant to determine how many solutions there will be>

Homework: HomeRun worksheet

Ax² + Bx + C = 0

- Ex 1: Write the quadratic equation.
- (a) A= 2, B = 3, C = -5
- 2x² + 3x – 5 = 0
- A= 1, B = -4, C = 8
- A = -5, B = 0, C = 25
- -5x² + 25 = 0

- x² - 4x + 8 = 0

The Quadratic Formula will find all x-values in any quadratic equation. On a graph, these would be the x-intercepts (zeros, roots).

*In order for the quadratic formula to work, the equation MUST EQUAL 0!

- The discriminant lets you know how many solutions there will be to a quadratic equation.
- You find the discriminant using the formula

According to this determinant, how many solutions will this quadratic equation have?

Ex 3: The profit P from handmade sweaters depends on the price s at which each sweater is sold. The function P = -s² + 120s – 2000models the monthly profit from sweaters for one custom tailor. Find how much the company should charge for each sweater in order to break even.

- HOME RUN worksheet
- Find the solutions using the quadratic formula