Solving Quadratic Equations by Finding Square Roots

1
Solving Quadratic Equations by Finding Square
Roots

• Mrs. Cronquist
• Valley Christian High School
• Algebra 1B

2
Properties of Radicals

• Multiplication (Product Property)
• ab a b
• 4x9 36 6
• 4 x 9 2 x 3 6
• Division (Quotient Property)
• a a
• b b
• 4 4 2
• 49 49 7

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Properties of Radicals
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Simplify

• 1) v50 2) v¾
• 3) v20 4) 32
• 4 50

5
Real Life Model

• Boat Racing The maximum speed s (in
  knots) that some kinds of boats can travel can be
  modeled by
• s² 16/9 x, where x is the length of the
  waterline in feet.
• A sailboat with a 16-foot waterline is racing
  against a sailboat with a 32-foot waterline. The
  smaller sailboat is traveling at a maximum speed
  of 5.3 knots.
• a. Find the maximum speed of the sailboat with
  the 32-foot waterline to the nearest tenth.
• b. Is the maximum speed of the sailboat with the
  32-foot waterline twice that of the sailboat with
  the 16-foot waterline? Explain.

6
Homework

• Page 514 515
• 12 48 every 3rd
• 50, 53, 54
• Due the 11th