izrael101
izrael101 izrael101
  • 18-05-2018
  • Mathematics
contestada

Add to each side x2 – 8x = 9 to complete the square

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carlosego
carlosego carlosego
  • 18-05-2018
For this case we have the following equation:
 x2 - 8x = 9
 By completing squares we have:
 x2 - 8x + (-8/2) ^ 2 = 9 + (-8/2) ^ 2
 Rewriting we have:
 x2 - 8x + (-4) ^ 2 = 9 + (-4) ^ 2
 x2 - 8x + 16 = 9 + 16
 (x-4) ^ 2 = 25
 Answer:
 
(x-4) ^ 2 = 25
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