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    Posts made by Kshitij Singh

    • RE: CAT Question Bank - Functions

      @Rowdy-Rathore

      F(x) = x^4-360x^2+400
      F(x) = (x^2+20)^2 - 400x^2
      F(x) = (x^2-20x+20)(x^2+20x+20) = Prime Number
      Since the value of second factor is always positive and greater than 1 therefore, 1st factor has
      to be equals to 1.
      x^2-20x+20 = 1
      x^2-20x+19= 0
      On solving,
      x = 1, 19.
      Putting back the values in the original equation we get f(x) = 41 and f(x) = 761.

      So, the sum will be 41+761 = 802

      posted in Quant - Boosters
      Kshitij Singh