Solving Quadratics with Square Roots
10th GradeMath45 min
Learning Objective
I can solve quadratic equations by isolating the squared term and taking the square root.
Lesson Flow
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Solving quadratic equations by square roots | Algebra II | Khan Academy
Khan Academy
Guided Notes
Key concepts students will learn:
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To solve the equation (4x + 1)² - 8 = 0, we can add 8 to both sides and then take the square root of both sides.
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When solving (x - 5)² = 9 by taking the square root, we get x - 5 = ±3, so x = 8 or x = 2.
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If we have x² + 18x + 81 = 1, we can rewrite the left side as (x + 9)² and then solve by taking the square root of both sides to get x = -8 or x = -10.
Practice
7 questions • Multiple choice & Short answer
Exit Ticket
“Solve for x: (x + 3)² - 16 = 0. Show your steps.”
Teacher Guide
Get the complete package:
- Answer keys for all questions
- Differentiation strategies
- Extension activities
- Printable student handouts
