Solving Harder Radical Equations

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Presentation transcript:

Solving Harder Radical Equations Unit 3 Day 5 Solving Harder Radical Equations

Warm-up

Homework Answers – Packet p.7 odds, p.8 odds & $4,12 p. 7 Part 1 x = 9 2. m = 81 x = 81 r = 49 n = 25 p. 7 Part 2 n = 10 2. p = 1 x = 5 x = 0, 8 x = 6 r = 3

Solving with Rational Exponents and Radicals Lesson The next few problems are…different. We’re going to come across some equations that have no solution and some that have two solutions. Remember, you can always check your answers by substituting your solution into the equation to make sure it works. In fact, you really need to check your answers to these problems! When we solve an equation correctly, but the answer doesn’t work when we check it, we call the solution extraneous. We’ll try a couple together!

Solving with Rational Exponents and Radicals Lesson You’re going to come across some tougher problems that involve multiple steps. Let’s try a couple.  We’ll try some together!

Applications of Equations with Rational Exponents or Radicals. The distance between two points is . If one of the points is located at (4, 2) and the other point has a x-value of -1 , what are the possible y-values of the other point? The volume of a sphere is 2145. If the formula is used to calculate the volume of a sphere, what is the radius of the sphere? The equation allows you to calculate the maximum velocity, v, that a car can safely travel around a curve with a radius of r feet. This is used by the Department of Transportation to determine the best speed limit for a given stretch of road. If a road has a speed limit of 45 mph, what is the tightest turn on that road?

Extra Practice Handout

Homework: Quiz Review (Posted online!!) do: #1-12, 25-34