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superhelp101

  • one year ago

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  1. superhelp101
    • one year ago
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  2. superhelp101
    • one year ago
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    I feel like the first and the last one could be the answer

  3. GreenCat
    • one year ago
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    root w over 2 is an odd INTEGER

  4. GreenCat
    • one year ago
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    so that means root w is even

  5. GreenCat
    • one year ago
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    so w is the square of an even number

  6. acxbox22
    • one year ago
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    |dw:1434403835527:dw|

  7. GreenCat
    • one year ago
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    |dw:1434403901094:dw| remember x is odd so w is 4 times the square of an odd number

  8. GreenCat
    • one year ago
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    divide the answer chices by 4 and see which is the square of an odd number

  9. acxbox22
    • one year ago
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    you can just plug all the answer choices and check

  10. GreenCat
    • one year ago
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    anything that is not divisible by 4 is wrong cross out 49, 81, and 225

  11. GreenCat
    • one year ago
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    Divide by 4: 144/4=36 196/4=49

  12. superhelp101
    • one year ago
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    but 7.5 is also odd

  13. GreenCat
    • one year ago
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    7.5 is not an integer.

  14. acxbox22
    • one year ago
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    no it isn't odd or even is only defined for numbers

  15. superhelp101
    • one year ago
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    ohh so \[\sqrt{w}\] has to be even?

  16. acxbox22
    • one year ago
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    yea then only it can be divided by 2

  17. superhelp101
    • one year ago
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    ohh cool let me work it out

  18. superhelp101
    • one year ago
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    144 and 196 could work

  19. superhelp101
    • one year ago
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    no it is 196 right?

  20. freckles
    • one year ago
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    \[\frac{\sqrt{w}}{2}=2k+1 \\ \text{ multiply 2 on both sides } \\ \sqrt{w}=2(2k+1) \\ \text{ \square both sides } w=2^2(2k+1)^2\]

  21. freckles
    • one year ago
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    this says w is divisble by 4 and some other odd number square

  22. freckles
    • one year ago
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    is 49,81,225 divisible by 4?

  23. superhelp101
    • one year ago
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    no

  24. freckles
    • one year ago
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    so your choices are narrowed down to either 144 or 196 write the prime factorization both of these

  25. superhelp101
    • one year ago
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    |dw:1434404702547:dw|

  26. GreenCat
    • one year ago
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    According to what I had earlier shown, yes 196 works as you said.

  27. superhelp101
    • one year ago
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    |dw:1434404755390:dw|

  28. freckles
    • one year ago
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    \[144=2^4 \cdot 3^2 \\ 196=2^2 \cdot 7^2 \] and \[w=2^2(2k+1)^2\] which fits the w form?

  29. freckles
    • one year ago
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    notice the 2 has a square on it in the w factorization both satisfy the odd^2 part but only one of them satisfy the 2 raised to the second power part

  30. superhelp101
    • one year ago
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    oh okayyy

  31. superhelp101
    • one year ago
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    thank you all for the help! :)

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