Math, asked by ayushkumarjsr000, 2 months ago

2(2x-1/x+3)-3(x+3/2x-1)=5​

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Answered by Bhumibruno
0

Answer:

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Answered by Anonymous
4

Answer:

2( \frac{2x - 1}{x + 3}  )\:  -  \: 3 (\frac{x + 3}{2x - 1} ) = 5 \\  \\

 \\ 2  \frac{{(2x - 1)}^{2}  - 3 {(x + 3)}^{2}  }{(x + 3)(2x - 1)} = 5 \\  \\

 \frac{2( {4x}^{2} - 4x + 1) - 3( {x}^{2} + 6x + 9)  }{2 {x}^{2}  -x + 6x + 3 }  = 5 \\  \\

 =  > 8 {x}^{2}  - 5x + 2 - 3 {x}^{2}  - 18x - 27 = 10 {x}^{2}  + 25x - 15 \\

 =  > 5 {x}^{2}  - 26x - 25 = 10 {x}^{2}  + 25x - 15

 =  > 5 {x}^{2}  + 51x + 10 = 0 \\

 \\  =  > 5 {x}^{2}  + x + 50x + 10 = 0 \\

 =  > x(5x + 1) + 10(5x + 1) = 0 \\

 =  > (5x + 1)(x + 10) = 0 \\

 =  >  \: x =  - 10 \\  \times  =  -  \frac{ 1}{5}  \\

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Therefore x = -10

x = -1/5

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