Math, asked by Anonymous, 9 months ago

please solve with explanation
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solution of x+3/x+2 + x-3/x-2 = 2x-3/x-1 is
a. 5,3
b. 0,5
c. 0,4
d. 0,3 ​

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Answers

Answered by anirudrapal
1

Answer:

x=4

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Answered by Anonymous
6

Answer:

 \frac{x + 3}{x + 2}  +  \frac{x - 3}{x - 2}  =  \frac{2x - 3}{x - 1}  \\  \\  \\  =  &gt;  \frac{(x +  3)(x - 2) + (x - 3)(x + 2)}{(x + 2)(x - 2)}  =   \frac{2x - 3}{x - 1}  \\  \\  \\  =  &gt;  \frac{ {x}^{2}   - 2x + 3x - 6 +  {x}^{2}  + 2x - 3x - 6}{ {x}^{2} -  {2}^{2}  } =  \frac{2x - 3}{x - 1}   \\  \\  you \: know.. \\ (x - y)(x + y) =  {x}^{2}  -  {y}^{2}  \\  \\  \\  =  &gt;   \frac{2 {x}^{2}  - 12}{ {x}^{2} - 4 }  =  \frac{2x - 3}{x - 1}  \\  \\  \\  =  &gt;( 2 {x}^{2}  - 12)(x - 1) = (2x - 3)( {x}^{2}  - 4) \\  \\  \\  =  &gt; 2 {x}^{3}  - 2 {x}^{2}  - 12x + 12 = 2 {x}^{3}  - 8x -  {3x}^{2}  + 12 \\  \\  \\  =  &gt;  -2  {x}^{2}  + 3 {x}^{2}  - 12x + 8x = 0 \\  \\  =  &gt;  {x}^{2}  - 4x  = 0\\  \\  =  &gt;  {x}^{2}  = 4x \\  \\  =  &gt; x = 4 </p><p>and</p><p> x=0

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