solve by factoring 4x^2-25=0

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27-08-2015
Mathematics

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solve by factoring 4x^2-25=0

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Panoyin Panoyin · Answer 1 · 2015-08-27T21:05:14-04:00

4x² - 25 = 0
      4x² - 10x + 10x - 25 = 0
2x(2x) - 2x(5) + 5(2x) - 5(5) = 0
      2x(2x - 5) + 5(2x - 5) = 0
   (2x + 5)(2x - 5) = 0
   2x + 5 = 0 U 2x - 5 = 0
       - 5 - 5 + 5 + 5
       2x = -5    2x = 5
      2 2 2    2
   x = -2¹/₂    x = 2¹/₂

Solution Set: {-2¹/₂, 2¹/₂}