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ytrewqmiswi

  • one year ago

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  1. ytrewqmiswi
    • one year ago
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    \[[x^2]+[2x]=3x\] []=greatest integer function\[x \in [0,2]\] find the values of x

  2. welshfella
    • one year ago
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    by inspection one value is 0.

  3. ytrewqmiswi
    • one year ago
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    yes :)

  4. welshfella
    • one year ago
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    oh so is 1 agreed?

  5. ytrewqmiswi
    • one year ago
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    yes

  6. welshfella
    • one year ago
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    If we square both sides we get x^4 + 4x^3 + 4x^2 = 9x^2

  7. welshfella
    • one year ago
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    x^4 + 4x^3 - 5x^2 = 0 x^2(x^2 + 4x - 5) = 0 x^2(x + 5)(x - 1) = 0 x = 0, 1 , -5

  8. ytrewqmiswi
    • one year ago
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    but is it ok to square nd simplify like that when u have greatest integer function there?

  9. welshfella
    • one year ago
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    to be honest i'm not sure 1 would be greatest integer function i guess

  10. welshfella
    • one year ago
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    I'll check it out

  11. ytrewqmiswi
    • one year ago
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    ok

  12. welshfella
    • one year ago
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    [0,2] must be the domain so the greatest integer function would be 1

  13. welshfella
    • one year ago
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    -5 is an extraneous solution

  14. ytrewqmiswi
    • one year ago
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    yes

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