anonymous
  • anonymous
Explain to me how to do this? (sqrt x+2)+4=x
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
\[\sqrt{x+2}+4=x\]
anonymous
  • anonymous
OOH!
anonymous
  • anonymous
Okay, I think you would subtract four first

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anonymous
  • anonymous
From both sides.
anonymous
  • anonymous
I did that.
anonymous
  • anonymous
wait, I have an idea
anonymous
  • anonymous
Then I squared them on both sides.
anonymous
  • anonymous
thats the way to do it. what did that give you?
anonymous
  • anonymous
|dw:1377986715393:dw|
anonymous
  • anonymous
\[x+2=x ^{2}-4x-4x-4x\]
anonymous
  • anonymous
|dw:1377986793349:dw|
anonymous
  • anonymous
\[x+2 = x^2 - 4x - 4x + 16\]
anonymous
  • anonymous
where did you get the 16?
anonymous
  • anonymous
where did you get the 3rd -4x? :P its from (-4)(-4) in (x-4)(x-4)
anonymous
  • anonymous
oh I see. I left out the 4
anonymous
  • anonymous
I used FOIL. (x-4)(x-4)
AkashdeepDeb
  • AkashdeepDeb
\[\sqrt{x+2} + 4 = x \] \[\sqrt{x+2} = x-4\] NOW SQUARE BOTH SIDES \[x+2 = (x-4)^2\] Now use identities \[x+2 = x^2 - 8x + 16\] \[x^2 - 9x + 14 = 0\] Find the solutions od the Quadratci equation! Understood? :)
anonymous
  • anonymous
Oh, okay! Thank you @AkashdeepDeb
jdoe0001
  • jdoe0001
\(\bf \sqrt{x+2}+4=x \implies x+2=(x-4)^2\\ x+2=x^2-8x+16 \implies 0 = x^2-9x+14\)
anonymous
  • anonymous
Omg, how are you so good at math? @AkashdeepDeb
DebbieG
  • DebbieG
And make sure you CHECK those solutions back in the original equation.... extraneous solutions are likely when you go and start squaring stuff. :)
AkashdeepDeb
  • AkashdeepDeb
@Sotrueblue ^_^ Even you are, Everybody here is!! :D
anonymous
  • anonymous
I fail at math... I never even thought of using quadratic...
anonymous
  • anonymous
Okay, so I got x^2-9x=-14. What now?
AkashdeepDeb
  • AkashdeepDeb
@Sotrueblue ? Don't think like that! :) Stay positive!! :D +++++++++++++++ B+ @EmmaCahoon This is a quadratic equation x2 - 9x + 14 = 0 Or x2 - (7+2)x + 14 = 0 or x2 - 7x - 2x + 14 = 0 or x(x-7) - 2(x-7) (x-2)(x-7) = 0 So now x can be 2 or 7 But now if you try putting 2 in your question's value you will not quite get the answer!! :D So the answer is 7!! :D understood? :)
anonymous
  • anonymous
Yes, thank you so much! @AkashdeepDeb
AkashdeepDeb
  • AkashdeepDeb
:)
anonymous
  • anonymous
you are not done! as @DebbieG said don't forget that you have to check your answers in the original equation

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