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college algebra

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Solve the following equation in the complex number system. Please show all of your work.
2x^5-3x^4-32x+48=0

  • college algebra -

    solving quintics is hard, so look for easy roots with synthetic division

    2x^5-3x^4-32x+48
    (x+2)(x-2)(2x-3)(x^2+4)
    = (x+2)(x-2)(2x-3)(x-2i)(x+2i)

  • college algebra -

    The manager of a coffee shop has one type of coffee that sells for $5 per pound and another type that sells for
    $11 per pound. The manager wishes to mix 60 pounds of the $11 coffee to get a mixture that will sell for $9 per
    pound. How many pounds of the $5 coffee should be used?

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