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

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  • #10819
    shrutis
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      1. x = ± √5 and x = ±10
      2. x = ± √i5 and x = ±10i
      3. x = ± √5 and x = ±10i
      4. x = ± √i5 and x = ±10

      #10821
      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, 10 months ago by ProtonsTalk.
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