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anonymous

  • one year ago

Solve the equation.

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  1. anonymous
    • one year ago
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    \[3^{1/2} + 5^{1/4} -2 =0\]

  2. welshfella
    • one year ago
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    where is the variable?

  3. anonymous
    • one year ago
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    Oops, sorrry. It's \[3x^{1/2} + 5x^{1/4} - 2=0\]

  4. welshfella
    • one year ago
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    if we let y = x^(1/4) then x^(1/2) = y^2 so we need to solve 3y^2 + 5y - 2 = 0

  5. welshfella
    • one year ago
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    can you solve that / It will factor

  6. anonymous
    • one year ago
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    Okay. I understand. Doesn't that get you 1/3 and -2, but the -2 goes away?

  7. welshfella
    • one year ago
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    solution is 1/3 and - 2 yes

  8. anonymous
    • one year ago
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    And then what?

  9. welshfella
    • one year ago
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    so we have x^(1/4) = 1/3 which is easy to solve x^(1/4) = -2 has no real solutions

  10. anonymous
    • one year ago
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    Can you tell me how to solve it?

  11. welshfella
    • one year ago
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    x^(1/4) = 1/3 take 4th power of each side x = (1/3)^4 = ?

  12. welshfella
    • one year ago
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    = 1 / 3^4 = 1/81

  13. welshfella
    • one year ago
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    ok?

  14. anonymous
    • one year ago
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    Makes sense. Thanks so much!

  15. welshfella
    • one year ago
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    yw

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