Home Forums Math What are the solutions of the equation x^4 + 95x^2 – 500 = 0? Use factoring to solve. Reply To: What are the solutions of the equation x^4 + 95x^2 – 500 = 0? Use factoring to solve.

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suseelk
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    Answer : Option C
    x = ±√5, x = ±10i

    Explanation :
    Given equation,
    x^4 + 95x^2 – 500 = 0

    By factoring the above equation we get,
    x^4 + 100x^2 – 5x^2 – 500 = 0
    x^2(x^2 + 100) – 5(x^2 + 100) = 0
    (x^2 – 5)(x^2 + 100) = 0

    solving the equation,
    x^2 = 5, x^2 = 100

    Therefore, x = ±√5, x = ±10i

    • This reply was modified 2 years, 9 months ago by ProtonsTalk.
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