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.

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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

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


Standard form of a quadratic equation

Standard Form of a Quadratic Equation

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 q uadratic formula

The QUADRATIC FORMULA

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

The Discriminant

  • The discriminant lets you know how many solutions there will be to a quadratic equation.

  • You find the discriminant using the formula


Ex 1 quality core practice

Ex 1: Quality Core Practice

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


Finding solutions to quadratic equations

Finding Solutions to Quadratic Equations


Sec 8 solving quadratic equations with the quadratic formula

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.


Homework

HOMEWORK

  • HOME RUN worksheet

    • Find the solutions using the quadratic formula


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