SOLVING RADICALS Unit 4 Radicals. Steps to solve radical equations A radical equation is a equation with a variable under the radical sign! STEPS: 1)

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Presentation transcript:

SOLVING RADICALS Unit 4 Radicals

Steps to solve radical equations A radical equation is a equation with a variable under the radical sign! STEPS: 1) Isolate radical 2) get rid of radical 3) solve 4) check “Square a square root” “Cube a cube root” ETC…

Solve each radical equation Find all solutions. Answer:X = 14 Answer:X = 342

SOLVE Remember rational exponents represents radicals To remove rational exponents raise each side the reciprocal power Exponent like this is the same as a radical. Answer:X=31 POWER INDEX

Solve Answer:X = -3 When X’s on both sides of equation solve by graphing! To solve by graphing: 1)Graph 2) Find x-intercepts

Word problem You can model time, t in seconds, an object takes to reach the ground falling from height H, in meters by the equation: If an object takes 7 seconds to fall to the ground, what was the initial height? If an object takes 10 seconds? How long will it take an object to hit the ground from a initial height of 100ft? Objects falling hammer vs. feather

practice Pg 394 #9-21 odd 26, 29, 32

Solving radicals VIDEO SOLUTION: The solution/root/zero to a function is where the graph crosses the x-axis Graph and find the intersections = solutions

Word problem For a meteor crater in Arizona, the formula relates the diameter d of the rim(in meters) to the volume V (in cubic meters). What is the volume of the crater if the diameter is 1200 meters Solve by graphing or by hand? By hand will be easier Cube both sides

Applying radicals to problems Radius of a sphere can be measured using the formula: Find the radius if the volume is 250 ft 3 Find the volume if the radius is 6 (K.A. video)(K.A. video) Pg. 365 #35, 36

Word problem You can model the population of a Texas town between the years 1970 & 2005 by the function below. x is the year. In what year did the town have a population of 250,000?

Practice Pg 395 #24,25,45*,60 Pg 418 #24, 54