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Do Now 4/19/10

Do Now 4/19/10. Copy HW in your planner. Text p. 655, #4-48 multiples of 4, #56 & 60. A= 36. A = 6². A= 16. What is the area for each figure?. A = 4². What are the dimensions for each figure?. 6. 4. Write an equation for area of the figure?. Can you think of an equation

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Do Now 4/19/10

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  1. Do Now 4/19/10 • Copy HW in your planner. • Text p. 655, #4-48 multiples of 4, #56 & 60 A= 36 A = 6² A= 16 What is the area for each figure? A = 4² • What are the dimensions for each figure? 6 4 • Write an equation for area of the figure? • Can you think of an equation • for ONE side of the figure? 4 6

  2. Objective • SWBAT solve quadratic equations by finding square roots

  3. Remember This???Section 2.7 “Find Square Roots and Compare Numbers” If b² = a then b is the square root of a. TheSQUARE ROOTof a number is denoted by the symbol , which is called aradical. radicand

  4. Square Roots • All positive real numbers have two square roots, a positive and negative square root. • The symbol is read as “plus or minus” and refers to both the positive and negative square root. • Negative real numbers do not have real square roots. So there is no solution. no solution The square of an integer is called a perfect square.

  5. Not PERFECT??? The square root of a whole number that is NOT a perfect square is an IRRATIONAL NUMBER. numbers that cannot be written as a quotient (fraction, ratio) of two integers and the decimal neither terminates nor repeats. To find the square root of a number that is not a perfect square estimate or use a calculator to find the square root.

  6. Section 10.4 “Use Square Roots to Solve Quadratic Equations” • To use square roots to solve a quadratic equation of the form ax² + bx + c = 0, first isolate x² on one side of the equation to obtain x² = d. Examples Solving x² = d by Taking Square Roots - If d > 0, then x² = d has two solutions: - If d = 0, then x² = d has one solution: - If d < 0, then x² = d has no solution: no solution no solution

  7. Try It Out… No solution

  8. Take square roots of a fraction • In cases where you need to take the square root of a fraction whose numerator and denominator are perfect squares, the radical can be written as a fraction. • For example, can be written as .

  9. Try It Out…

  10. Solve the quadratic equation. Round your answer to the nearest hundredth.

  11. HomeworkText p. 655, #4-48 multiples of 4, #56 & 60

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