anonymous
  • anonymous
solve. sqrt(x+5)-1=sqrt(x)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
\[\sqrt{x+5}-1=\sqrt{x}\]
anonymous
  • anonymous
\[\sqrt{x + 5} - 1 = \sqrt{x}\]
anonymous
  • anonymous
Take 1 to the other side and square on both sides.

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anonymous
  • anonymous
ok so i got: \[x+5=x+2\sqrt{x}+1\]
anonymous
  • anonymous
|dw:1345014199718:dw|
anonymous
  • anonymous
then I subtract a x and the 1 from both sides?
anonymous
  • anonymous
yep, you were faster than me. @TuringTest any ideas how to remove the square root?
anonymous
  • anonymous
to isolate the squareroot? this is where I get lost every time..
anonymous
  • anonymous
|dw:1345014331464:dw|
TuringTest
  • TuringTest
no I was mistake it goes away when you get rid of x and square both sides
anonymous
  • anonymous
ok, i got this.
TuringTest
  • TuringTest
mistaken*
TuringTest
  • TuringTest
yes you do :)
anonymous
  • anonymous
|dw:1345014366077:dw| done
anonymous
  • anonymous
ok, then divide both sides by 2. then square both sides. thank you!
anonymous
  • anonymous
welcome.
anonymous
  • anonymous
could one of you give me a different problem that is still similar math?
anonymous
  • anonymous
|dw:1345014658648:dw| same format, different terms.
anonymous
  • anonymous
k. thank you. give me a minute to do it, then could you let me know if i did it right?
anonymous
  • anonymous
sure.
anonymous
  • anonymous
It will come as a negative fraction, don't bother simplifying.
anonymous
  • anonymous
Its ok if the answer looks too complicated, I made up the question on the spot.
anonymous
  • anonymous
i got 169/32=x
1 Attachment
anonymous
  • anonymous
|dw:1345015382310:dw| you made a mistake there.
anonymous
  • anonymous
i thought when you divide a fraction by another fraction you are really just multiplying it by the reciprocal.
anonymous
  • anonymous
ohh..... never mind... I get it 1/2 is the reciprocal of 2... duh.
anonymous
  • anonymous
right.
anonymous
  • anonymous
√(x+5) - 1 = √x √x + 1 = √(x+5) by squaring both sides, (√x + 1)² = [√(x + 5)]² (√x)² + 2 * √x * 1 + 1² = x + 5 x + 2√x + 1 = x + 5 2√x = 5 - 1 √x = 4/2 x = 2² x = 4

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