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Question: If ![](https://cdn.pureessence.tech/canvas_577.png?top_left_x=560&top_left_y=0&width=300&height=51)t...

If then x =

A

34,−38\frac { 3 } { 4 } , \frac { - 3 } { 8 }

B

34,38\frac { 3 } { 4 } , \frac { 3 } { 8 }

C

43,38\frac { 4 } { 3 } , \frac { 3 } { 8 }

D

None of these

Answer

None of these

Explanation

Solution

x−1x+1+2x−12x+1=2336[1−(x−1)(2x−1)(x+1)(2x+1)]\frac { x - 1 } { x + 1 } + \frac { 2 x - 1 } { 2 x + 1 } = \frac { 23 } { 36 } \left[ 1 - \frac { ( x - 1 ) ( 2 x - 1 ) } { ( x + 1 ) ( 2 x + 1 ) } \right]

⇒ 24x2−23x−12=0⇒(3x−4)(8x+3)=024 x ^ { 2 } - 23 x - 12 = 0 \Rightarrow ( 3 x - 4 ) ( 8 x + 3 ) = 0.

Hence the result.