Math, asked by Noopurkadam, 4 months ago

find the root of the following equation by factorization method x+1/x-1 - x-1/x+1 =5/6​

Answers

Answered by Anonymous
43

Answer:

 \large {\boxed{\fcolorbox {yellow} {green} {X~=1/5~and~-5}}}

Step-by-step explanation:

 \large {\boxed{\fcolorbox {red} {aqua} {Answer}}}

 =  >  \frac{x  + 1}{x - 1}  -  \frac{x - 1}{x + 1}  =  \frac{5}{6}  \\  =  >  \frac{ ({x + 1})^2 - ( {x - 1)}^{2}  }{ {x}^{2} -  {1}^{2}  }  =  \frac{5}{6}  \\  =  >   \frac{4x}{ {x}^{2} - 1 }   =  \frac{5}{6}  \\  =  > 24x = 5 {x}^{2}  - 5 \\  =  > 5 {x}^{2}  - 24x - 5 = 0 \\  =  > 5 {x}^{2}  + 25x - x - 5 = 0 \\  =  > 5x(x + 5) - 1(x + 5) = 0 \\ (5x - 1)(x + 5) = 0 \\   =  > x =  \frac{1}{5} \:  and \:  -5

Similar questions