Given that: #10;32x 1+42x+1=72x #10;6x+3+8x 44x^2 1=72x 28x^2 2x=28x^2 7 2x= 7 #10; #10; #10; #10; #10; #10; #10; #10; #1 ...

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Rational Expression

32x-1+42x+1=7...

Question

$\frac{3}{2 x - 1} + \frac{4}{2 x + 1} = \frac{7}{2 x}$

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Solution

Given that:
$\frac{3}{2 x - 1} + \frac{4}{2 x + 1} = \frac{7}{2 x}$
$\frac{6 x + 3 + 8 x - 4}{4 x^{2} - 1} = \frac{7}{2 x}$
$28 x^{2} - 2 x = 28 x^{2} - 7$
$- 2 x = - 7$

$x = \frac{7}{2}$

Hence, this is the answer.

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