Radical Equations: Solutions and Applications
Explore solving radical equations, isolating radicals, using radical equations in real-life scenarios, dealing with radical expressions on both sides, identifying extraneous solutions, and recognizing equations with no solutions. Improve your understanding of radicals and their applications.
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Presentation Transcript
10-4 Solving Radical Equations
Problem 1: Solving by Isolating the Radical What is the solution of: ? + 7 = 16
What is the solution of: ? 5 = 2
Problem 2: Using a Radical Equation The time t in seconds it takes for a pendulum of a clock to complete a full swing is approximated by the equation ? = ? 3.3where w is the length of the pendulum, in feet. If the pendulum of a clock completes a full swing in 3 seconds, what is the length of the pendulum? Round to nearest tenth of a foot. 2
Problem 3: Solving with Radical Expressions on Both Sides What is the solution of: 5? 11 = ? + 5
What is the solution of: 7? 4 = 5? + 10
Problem 4: Identifying Extraneous Solutions What is the solution of: ? = ? + 12
What is the solution of: ? = ? + 6
Problem 5: Identifying Equations with No Solution What is the solution of: 3? + 8 = 2
What is the solution of: 6 2? = 10
