csylvestre18 csylvestre18
  • 23-10-2020
  • Mathematics
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Find the equation that results from completing the square. X^2-14x+40=0

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sqdancefan
sqdancefan sqdancefan
  • 23-10-2020

9514 1404 393

Answer:

  (x -7)^2 -9 = 0

Step-by-step explanation:

To complete the square, add and subtract the square of half the x-coefficient.

  x^2 -14x +40 = 0 . . . . given

  x^2 -14x +(-7)^2 +40 -(-7)^2 = 0

  (x -7)^2 +40 -49 = 0

  (x -7)^2 -9 = 0

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