How would you solve the equation: x 2 = 4 (take the square root of each side!) * Remember, the square root of a positive # has 2 answers! (one + and one -)
Radical Radical sign Radicand
Properties of Square Roots (a>0 and b>0) 1.Product Property – 2.Quotient Property- Example: Example:
Rationalizing the Denominator You CANNOT leave a radical in the denominator of a fraction! No tents in the basement!!!! (the numerator is OK) Just multiply the top & bottom of the fraction by the radical to “rationalize” the denominator.
More Examples! Can’t have a tent in the basement!
Solving Quadratic Equations 1.Solve x 2 = x 2 = x 2 = 2. 2.Solve. 3(x-2) 2 = (x-2) 2 = 7
More Examples! 3.Solve. 4x 2 -6= x 2 = x 2 = Solve.
Falling Objects! Use h = -16t 2 + h 0 Height of the object after it has fallen # of seconds after the object is dropped Object’s initial height
Example The tallest building in the USA is in Chicago, Illinois. It is 1450 ft. tall. How long would it take a penny to drop from the top of the building to the ground?