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Solving Quadratic Equations by Finding Square Roots

Solving Quadratic Equations by Finding Square Roots. Square Roots. Square roots: a number that produces a specified quantity when multiplied by itself. Example: = 7  (7 × 7 = 49) Types of square roots: Positive: = 9 Negative: = -10 Zero Square Root: = 0

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Solving Quadratic Equations by Finding Square Roots

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  1. Solving Quadratic Equations by Finding Square Roots

  2. Square Roots • Square roots: a number that produces a specified quantity when multiplied by itself. • Example: = 7  (7 × 7 = 49) • Types of square roots: • Positive: = 9 • Negative: = -10 • Zero Square Root: = 0 • Two square roots: = • Undefined: (no square root)

  3. Perfect Squares • Perfect Squares: numbers whose square roots are integers.

  4. Not Perfect Squares • Numbers that are not perfect squares must be written using the radical symbol or approximated.  These numbers are irrational. • Irrational Numbers: numbers that cannot be written as fractions • Examples: or

  5. Evaluating Square Roots

  6. Evaluating a Radical Expression When a = 1, b = -2 and c = -3, evaluate:

  7. Evaluating a Radical Expression When a = 2, b = 4

  8. Falling Object Model Formula: h = ground level t = time s = initial height

  9. An engineering student is in an “egg dropping contest.” The goal is to create a container for an egg so it can be dropped from a height of 32 feet without breaking the egg. To the nearest tenth of a second, about how long will it take for the egg’s container to hit the ground. Assume there is no air resistance. (h = 0 when it hits the ground)

  10. An engineering student is in an “egg dropping contest.” The goal is to create a container for an egg so it can be dropped from a height of 64 feet without breaking the egg. To the nearest tenth of a second, about how long will it take for the egg’s container to hit the ground. Assume there is no air resistance.

  11. Homework Page: 507 8-20 evens and 36, 38.

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