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18 May, 15:15

Using the equation below as a model, fill in numbers in the place of a and b to create a rational equation that has an extraneous solution.

x plus a over ax = b over x

Part 1. Show all work to solve for x in the equation and check the solution.

Part 2. Explain how to identify the extraneous solution and what it means.

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Answers (1)
  1. 18 May, 19:03
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    Lets solve the equation step by step:

    (x + a) / ax = b/x

    therefore: a! = 0, x!=0

    now we solve:

    (x + a) / ax = b/x

    (x + a) / a = b

    x + a = ab

    x = a (b - 1)

    that is the solution for b, and we keep in mind that a! = 0, x!=0, the extraneous solutions
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Home » Mathematics » Using the equation below as a model, fill in numbers in the place of a and b to create a rational equation that has an extraneous solution. x plus a over ax = b over x Part 1. Show all work to solve for x in the equation and check the solution.
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