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30 June, 19:36

What is the solution to the rational equation x over 2x plus 1 plus 1 over 4 equals 2 over 2x plus 1?

Options are:

A. x = 9/2

B. x = 7/2

C. x = 3/2

D. x = 7/6

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Answers (1)
  1. 30 June, 20:33
    0
    X / (2x + 1) + 1/4 = 2 / (2x + 1) ... multiply all terms by 2x + 1 and cancel out

    x + (2x + 1) / 4 = 2

    3/2x + 1/4 = 2

    3/2x = 2 - 1/4

    3/2x = 8/4 - 1/4

    3/2x = 7/4

    x = 7/4 * 2/3

    x = 14/12 = 7/6 <==
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