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a.galvan2

  • 3 years ago

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

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  1. a.galvan2
    • 3 years ago
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    \[\sqrt{x+5}-1=\sqrt{x}\]

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

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

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

  5. pratu043
    • 3 years ago
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    |dw:1345014199718:dw|

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

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

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

  9. pratu043
    • 3 years ago
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    |dw:1345014331464:dw|

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

  11. pratu043
    • 3 years ago
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    ok, i got this.

  12. TuringTest
    • 3 years ago
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    mistaken*

  13. TuringTest
    • 3 years ago
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    yes you do :)

  14. pratu043
    • 3 years ago
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    |dw:1345014366077:dw| done

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

  16. pratu043
    • 3 years ago
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    welcome.

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

  18. pratu043
    • 3 years ago
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    |dw:1345014658648:dw| same format, different terms.

  19. a.galvan2
    • 3 years ago
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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?

  20. pratu043
    • 3 years ago
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    sure.

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

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

  23. a.galvan2
    • 3 years ago
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    i got 169/32=x

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  24. pratu043
    • 3 years ago
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    |dw:1345015382310:dw| you made a mistake there.

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

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

  27. pratu043
    • 3 years ago
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    right.

  28. curiousshubham
    • 3 years ago
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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

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