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a.galvan2

solve. sqrt(x+5)-1=sqrt(x)

  • one year ago
  • one year ago

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  1. a.galvan2
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    \[\sqrt{x+5}-1=\sqrt{x}\]

    • one year ago
  2. pratu043
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    \[\sqrt{x + 5} - 1 = \sqrt{x}\]

    • one year ago
  3. pratu043
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    Take 1 to the other side and square on both sides.

    • one year ago
  4. a.galvan2
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    ok so i got: \[x+5=x+2\sqrt{x}+1\]

    • one year ago
  5. pratu043
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    |dw:1345014199718:dw|

    • one year ago
  6. a.galvan2
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    then I subtract a x and the 1 from both sides?

    • one year ago
  7. pratu043
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    yep, you were faster than me. @TuringTest any ideas how to remove the square root?

    • one year ago
  8. a.galvan2
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    to isolate the squareroot? this is where I get lost every time..

    • one year ago
  9. pratu043
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    |dw:1345014331464:dw|

    • one year ago
  10. TuringTest
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    no I was mistake it goes away when you get rid of x and square both sides

    • one year ago
  11. pratu043
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    ok, i got this.

    • one year ago
  12. TuringTest
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    mistaken*

    • one year ago
  13. TuringTest
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    yes you do :)

    • one year ago
  14. pratu043
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    |dw:1345014366077:dw| done

    • one year ago
  15. a.galvan2
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    ok, then divide both sides by 2. then square both sides. thank you!

    • one year ago
  16. pratu043
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    welcome.

    • one year ago
  17. a.galvan2
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    could one of you give me a different problem that is still similar math?

    • one year ago
  18. pratu043
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    |dw:1345014658648:dw| same format, different terms.

    • one year ago
  19. a.galvan2
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    k. thank you. give me a minute to do it, then could you let me know if i did it right?

    • one year ago
  20. pratu043
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    sure.

    • one year ago
  21. pratu043
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    It will come as a negative fraction, don't bother simplifying.

    • one year ago
  22. pratu043
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    Its ok if the answer looks too complicated, I made up the question on the spot.

    • one year ago
  23. a.galvan2
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    i got 169/32=x

    • one year ago
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  24. pratu043
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    |dw:1345015382310:dw| you made a mistake there.

    • one year ago
  25. a.galvan2
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    i thought when you divide a fraction by another fraction you are really just multiplying it by the reciprocal.

    • one year ago
  26. a.galvan2
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    ohh..... never mind... I get it 1/2 is the reciprocal of 2... duh.

    • one year ago
  27. pratu043
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    right.

    • one year ago
  28. curiousshubham
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    √(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

    • one year ago
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