which of the following correctly completes the square for the equation below x^2+2x=13

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monicacastro monicacastro

29-07-2016
Mathematics

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which of the following correctly completes the square for the equation below x^2+2x=13

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Panoyin Panoyin · Answer 1 · 2016-07-29T14:49:54+02:00

  x² + 2x = 13
  x² + 2x + 1 = 13 + 1
  x² + x + x + 1 = 14
x(x) + x(1) + 1(x) + 1(1) = 14
x(x + 1) + 1(x + 1) = 14
(x + 1)(x + 1) = 14
  (x + 1)² = 14
x + 1 = ±√14
x = -1 ± √14