anonymous
  • anonymous
√(x+4)-√(x+1)=1
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
trying to solve for x?
anonymous
  • anonymous
the answer is supposed to be x=0 but I don't know why
anonymous
  • anonymous
Move one radical to the other side of the equation and then square each side. Remember that the right side will be a binomial so you will need to FOIL it. You will get a radical in the product so you will need to isolate it and solve it the same way by squaring each side.

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anonymous
  • anonymous
so when you move the radical over, your new equation is: √(x+4)=1+√(x+1)
anonymous
  • anonymous
Yup. Now square each side. FOIL the right side.
anonymous
  • anonymous
the left side just "pops" out as x+4?
anonymous
  • anonymous
yes. lovely isn't it?
anonymous
  • anonymous
yes, I'm making it overly complicated.
anonymous
  • anonymous
you'll get this and then combine like terms and isolate the radical again. \[x+4=x+1+2\sqrt{(x+1)} + 1\]
anonymous
  • anonymous
I'm afraid you lost me again.
anonymous
  • anonymous
This is what you get when you square both sides.
anonymous
  • anonymous
but then if you tried to get stuff over on the left, your x disappears...
anonymous
  • anonymous
It's OK because you still have one under the radical. Did you get \[2=2\sqrt{(x+1)}\]
anonymous
  • anonymous
yes, then do you get 4=4(x+1)?
anonymous
  • anonymous
I would've divided both sides by 2 first, but you'll still get x=0 in the end.
anonymous
  • anonymous
alright, let me try it that way then...I did not get to 0....
anonymous
  • anonymous
YES!! Got it! Thank you so much for the step by step!!
anonymous
  • anonymous
After dividing both sides by 2, you'll get \[1=\sqrt{(x+1)}\]
anonymous
  • anonymous
YAY! Good luck!
anonymous
  • anonymous
Lifesaver!

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