Solving Quadratic Equations

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Objective

I can solve quadratic equations using factoring, completing the square, and the quadratic formula.

Part 1 of 3

Key concepts

3 concepts

  1. 1

    Three common methods for solving quadratic equations are factoring, completing the square, and using the quadratic formula.

  2. 2

    Factoring involves rewriting a quadratic expression as a product of two linear expressions, and setting each factor equal to zero to find the solutions.

  3. 3

    The quadratic formula, x = (-b ± √(b² - 4ac)) / 2a, can be used to solve any quadratic equation, and the discriminant, b² - 4ac, indicates the nature of the roots.

Part 2 of 3

Practice

10 questions

1

What are the three methods described for solving quadratic equations?

2

Solve the following quadratic equation by factoring: x² - x - 6 = 0

Part 3 of 3

Exit ticket

Quick comprehension check

Solve the quadratic equation x² - 4x + 4 = 0 using factoring, completing the square, and the quadratic formula. Show your work for each method.

Sample answer included in the free materials

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