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March 28, 2017

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9x^-4-35x^-2-4=0

  • College Algebra - ,

    I assume we are solving?

    multiply each term by x^4

    9 - 35x^2 - 4x^4 = 0
    4x^4 + 35x^2 - 9 = 0
    (x^2 +9)(4x^2 - 1) = 0
    x^2 = -9 or x^2 = 1/4
    x = ± 3i or x = ± 1/2

  • College Algebra - ,

    let z = x^-2
    then z^2 = x^-4
    9 z^2 - 35 z - 4 = 0
    (9z+1)(z-4) = 0
    z = 4 or z = -1/9
    you take it from there

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