bayleef2 bayleef2
  • 26-08-2016
  • Mathematics
contestada

rewrite completing the sqaure 3x^2-18x+15

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texaschic101
texaschic101 texaschic101
  • 26-08-2016
3x^2 - 18x + 15
3x^2 - 18x = -15...divide by 3
x^2 - 6x = - 5...take half of -6, and square it...and add to both sides
x^2 - 6x + 9 = -5 + 9
x^2 - 6x + 9 = 4
(x - 3)^2 = 4
x - 3 = (+-) sqrt 4
x - 3 = (+-) 2
x = 3 (+-) 2

x = 3 + 2 = 5
x = 3 - 2 = 1

so x = 5 and x = 1
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