3/x+1 + 4/x-1 = 29/4x-1

1.	3/x+1 + 4/x-1 = 29/4x-1
Answer» Answer: $given \: that \: \\ \frac{3}{x + 1} + \frac{4}{x - 1} = \frac{29}{4 x - 1} \\ 3x - 3 + 4x + 4 = \frac{29}{4x - 1} \\ 7x + 1 = \frac{29}{4x - 1} \\ (7x + 1)(4x - 1) = 29 \\ 28 {x}^{2} - 7x + 4x - 1 = 29 \\ 28 {x}^{2} - 3x - 30 = 0\\$ on SOLVING this QUADRIC equation we get, $x = \frac{3 + \sqrt{3369} }{56} \\ and \\ x = \frac{3 - \sqrt{3369} }{56}$ this is your answer hope it HELPS to you☺️

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Answer:

$given \: that \: \\ \frac{3}{x + 1} + \frac{4}{x - 1} = \frac{29}{4 x - 1} \\ 3x - 3 + 4x + 4 = \frac{29}{4x - 1} \\ 7x + 1 = \frac{29}{4x - 1} \\ (7x + 1)(4x - 1) = 29 \\ 28 {x}^{2} - 7x + 4x - 1 = 29 \\ 28 {x}^{2} - 3x - 30 = 0\\$

on SOLVING this QUADRIC equation

we get,

$x = \frac{3 + \sqrt{3369} }{56} \\ and \\ x = \frac{3 - \sqrt{3369} }{56}$

this is your answer

hope it HELPS to you☺️

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3/x+1 + 4/x-1 = 29/4x-1​

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3/x+1 + 4/x-1 = 29/4x-1