Completing the Square with Complex Quadratics

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Objective

I can use a special method called "completing the square" to make complex quadratic expressions easier to understand.

Part 1 of 3

Warm-up video

Unknown Channel · 5:00

We don't generate video — this one is by Unknown Channel 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 3

Practice

7 questions

1

Explain in your own words why we divide by the leading coefficient in the first few steps of completing the square.

2

What is the purpose of "taking half" of the coefficient of the x term when completing the square?

Part 3 of 3

Exit ticket

Quick comprehension check

Solve for x by completing the square: x² + (2/3)x = 1 Solve for x by completing the square: x² + (4/5)x = 2 Solve for x by completing the square: x² + (2/7)x = 3

Sample answer included in the free materials

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