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 4

Warm-up video

Professor Dave Explains · 6:55Vetted channel

We don't generate video — this one is by Professor Dave Explains on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 4

Key concepts

3 concepts

  1. 1

    The quadratic formula is useful because you can plug in the coefficients of the expression and get the solution.

  2. 2

    The quadratic formula is: x = (-b ± √(b² - 4ac)) / 2a].

  3. 3

    If the discriminant (b² - 4ac) is a negative number, there are no real solutions to the quadratic.

Part 3 of 4

Practice

12 questions

1

What is the quadratic formula used for?

2

In the quadratic formula, x = (-B ± √(B² - 4AC)) / 2A, what is the discriminant and what does it indicate about the solutions of the quadratic equation?

Part 4 of 4

Exit ticket

Quick comprehension check

Solve the following quadratic equation using the quadratic formula: x² + 5x + 6 = 0. Show each step, including identifying the values of a, b, and c.

Sample answer included in the free materials

Get the materials

Teacher guide, student handout, and slides — free, in Google Docs format

  • Teacher Guide

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