Question

factories 3/2x-1 + 4/2x+1 = 7/2x​

Answer 1

$\frac{3}{2x - 1} + \frac{4}{2x + 1} = \frac{7}{2x} \\ \frac{3(2x + 1) + 4(2x - 1)}{(2x - 1)(2x + 1)} = \frac{7}{2x} \\ \frac{6x + 3 + 8x - 4}{4x {}^{2} - 1} = \frac{7}{2x} \\ 2x(14x - 1) = 7(4x {}^{2} - 1) \\ 28x {}^{2} - 2x = 28x {}^{2} - 7 \\ 2x = 7 \\ x = \frac{7}{2} or \: 3.5$

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Answer 2

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