Solving Quadratic Equations with the Formula

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Objective

I can use the quadratic formula to find the solutions of quadratic equations.

Part 1 of 4

Warm-up video

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We don't generate video — this one is by Khan Academy 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 can be used to solve equations in the form 0 = ax² + bx + c, where a, b, and c are coefficients.

  2. 2

    The quadratic formula states that x = -b ± √(b² - 4ac) / 2a, giving two possible solutions for x.

  3. 3

    In the example, a = -7, b = 2, and c = 9, which are substituted into the quadratic formula to find the solutions for q.

Part 3 of 4

Practice

10 questions

1

What is the general form of a quadratic equation to which the quadratic formula can be applied?

2

Write the quadratic formula.

Part 4 of 4

Exit ticket

Quick comprehension check

Use the quadratic formula to solve for x: 0 = 3x² + 5x - 2. Show all steps.

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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