Math, asked by kartikkumargaming123, 5 hours ago

solve for x. plz rotate the pic to see the full question the first answer will be marked as brainlist.​

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Answers

Answered by BrainlyArnab
1

 \huge \boxed{ \colorbox{lime}{ \red{x =  - 1}}}

Step-by-step explanation:

 \frac{x + 1}{x - 1}  +  \frac{x - 2}{x + 2}  = 3 \\  \\  =  >  \frac{(x + 1)(x + 2) + (x -1)(x - 2)}{(x - 1)(x + 2)}  = 3 \\  \\  =  >  \frac{x(x + 2) + 1(x + 2) + x(x - 2) - 1(x - 2)}{x(x + 2) - 1(x + 2)}  = 3 \\  \\  =  >  \frac{ {x}^{2} + 2x + x + 2 +  {x}^{2}  - 2x - x + 2 }{ {x}^{2} + 2x - x - 2 }  = 3 \\  \\  =  >  \frac{ {x}^{2} +  {x}^{2} + 2x + x - 2x - x + 2 + 2  }{ {x}^{2}  + x - 2}  = 3 \\  \\  =  > 2 {x}^{2}   + 3x - 3x + 4 = 3( {x}^{2}  + x - 2) \\  \\  =  >  {2x}^{2}  + 4 = 3 {x}^{2}  + 3x - 6 \\  \\  =  > 4 =  { 3x}^{2}  -  {2x}^{2}  + 3x + 6 \\  \\  =  >  {x}^{2}  + 3x + 6  = 4 \\  \\  =  >  {x}^{2}  + 3x + 6 - 4 = 0 \\  \\  =  >  {x}^{2}  + 3x + 2 = 0 \\  \\  =  >  {x}^{2}  + 2x + x + 2 = 0 \\  \\  =  > x(x + 2) + 1(x + 2) = 0 \\  \\  =  > (x + 2)(x + 1) = 0 \\

Hence value of x,

value 1 -

x + 1 = 0

=> x = -1

value 2 -

x + 2 = 0

=> x = -2

Hence the value of x = -1, - 2

You've said that we shouldn't take the value of x as 1 and -2.

So we can say the value as -1.

hope it helps.

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