1 / 9

Solving Radical Equations and Inequalities

Solving Radical Equations and Inequalities. Section 5.8. Radical Equations. Contains variable within a radical Review: How did you solve To Solve: Isolate the radical Raise both sides to a power that is equal to the index of the radical Simplify and solve

arlene
Download Presentation

Solving Radical Equations and Inequalities

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Solving Radical Equations and Inequalities Section 5.8

  2. Radical Equations • Contains variable within a radical • Review: How did you solve • To Solve: • Isolate the radical • Raise both sides to a power that is equal to the index of the radical • Simplify and solve • If there are 2 radicals, set up the equation so only 1 radical is on each side of the equation

  3. EX: Solve each equation • 1) 2) • 3) 4) • 5)

  4. Extraneous Solutions • When raising both sides of an equation to an even power, you have to check your answers because you may get extraneous solutions. • EX: Solve. Check your solutions. • 1) 2)

  5. Rational Exponents • Recall: • Therefore, when you see expressions raised to rational exponents in an equation, you can solve them using similar methods as you used for solving radical equations. • Raise both sides of equation to reciprocal power of given exponent • OR rewrite equation as radical equation and solve like previous problems • EX: Solve • 1) 2) • 3)

  6. Radical Inequality • Inequality that contains variable within radical • Solve by using a graph & table OR algebraically • Similar to 5.5 notes • Graph & Table: • Look for where Y1 = Y2 and ERROR • Algebra: • Solve Inequality • Consider Radicand • If even index, radicand cannot be negative

  7. EX: Solve • Solve algebraically AND graphically. • 1) 2)

  8. Application • The time t in seconds that it takes a car to travel a quarter mile when starting from a full stop can be estimated by using the formula , where w is the weight of the car in pounds and p is the power delivered by the engine in horsepower. If the quarter-mile time for a 3590 lb car is 13.4 s, how much power does its engine deliver? Round to the nearest horsepower.

  9. Homework • Pages 381-383 #27-49, 51, 58, 59, 60, 62-65

More Related