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

Viewing 2 posts - 1 through 2 (of 2 total)
  • Author
    Posts
  • #10819
    shrutis
    Participant

      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
      Participant
        Up
        4
        Down
        ::

        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, 11 months ago by ProtonsTalk.
      Viewing 2 posts - 1 through 2 (of 2 total)
      • You must be logged in to reply to this topic.
      Scroll to Top
      Scroll to Top