annameghan
annameghan annameghan
  • 03-10-2017
  • Mathematics
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identify all the following solutions of the square root of x+14 +2 = x (click photo)

identify all the following solutions of the square root of x14 2 x click photo class=

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liemonder liemonder
  • 03-10-2017
[tex]\sqrt{x+14}+2=x\\ \sqrt{x+14}=x-2\\ \sqrt{x+14}^2=(x-2)^2\\ x+14=x^2-4x+4\\ x+14-(x^2-4x+4)=0\\ -x^2+5x+10=0\\ x1,2=\frac{5+-\sqrt{65}}{2}[/tex]

insert both x solutions to see if they match the origional equation -> only [tex]\frac{5+\sqrt{65}}{2}[/tex] is correct

which is neither equal to -6 or 1 so it is "none of the above"
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