evank1
evank1 evank1
  • 12-03-2018
  • Mathematics
contestada

x^2 + 18x + 50 = 9

Solve by completing the square

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tynollette tynollette
  • 12-03-2018
step 1: both sides subtract 50: x²+18x=-41
step 2: both sides add (1/2 of 18)², which is 81: x²+18x+81=-41+81
step 3: make the square: (x+9)²=40
step 4: square root both sides: x+9=√40 or x+9=-√40
simplify: x=-9+2√10 or x=-9-2√10
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