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Some examples of perfect squares…  because 62 = 36  because 112 = 121 x2 + 10 x + 25 because                            (x + 5)2 = x2 + 10x + 25 x2 + 10 x + 25 is a perfect square                         trinomial
Solve
solve
solve
Solve 	 or Example 4-1a
Solve 	 or Example 4-2a
Find the value of c that makes	          a perfect square.  Then write the trinomial as a perfect square. c = 64 Example 4-3a
Find the value of c that makes	          a perfect square.  Then write the trinomial as a perfect square. 3 9 3 9 (x + 3)2 c = 9 Example 4-3a
Solve 	         by completing the square. = 2 22 = 4 x + 2 = 4    or    x + 2 = -4 x = 2   or    x = -6 Example 4-4a
Solve 	by completing the square. -
Solve 	         by completing the square.        x2 + 5x = 6 x2 + 5x +     = 6 +     (x +     )2 =          x +       =   x +      =         or  x +      =  x = 1               or x = -6  49 7 -7 7 Example 4-4b
Solve 	      by completing the square. - Example 4-6a

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Alg2 lesson 6-4

  • 1. Some examples of perfect squares… because 62 = 36 because 112 = 121 x2 + 10 x + 25 because (x + 5)2 = x2 + 10x + 25 x2 + 10 x + 25 is a perfect square trinomial
  • 5. Solve or Example 4-1a
  • 6. Solve or Example 4-2a
  • 7. Find the value of c that makes a perfect square. Then write the trinomial as a perfect square. c = 64 Example 4-3a
  • 8. Find the value of c that makes a perfect square. Then write the trinomial as a perfect square. 3 9 3 9 (x + 3)2 c = 9 Example 4-3a
  • 9. Solve by completing the square. = 2 22 = 4 x + 2 = 4 or x + 2 = -4 x = 2 or x = -6 Example 4-4a
  • 10. Solve by completing the square. -
  • 11. Solve by completing the square. x2 + 5x = 6 x2 + 5x + = 6 + (x + )2 = x + = x + = or x + = x = 1 or x = -6 49 7 -7 7 Example 4-4b
  • 12. Solve by completing the square. - Example 4-6a