X + 2 / x - 1 = x- 1 / x + 3 + 7 , find the roots

1.	X + 2 / x - 1 = x- 1 / x + 3 + 7 , find the roots
Answer» ANSWER: $\frac{<klux>X</klux> + 2}{x - <klux>1</klux>} = \frac{x - 1}{x + 3 + <klux>7</klux>}$ (X + 2 )(X + 3 + 7 ) = (X - 1 )(X - 1 ) X(X + 3 + 7 ) + 2 (X + 3 + 7 ) = X ( X - 1 ) -1 ( X - 1 ) X ${x}^{2} + 3x + 7x + 2x + 6 + 14 = {x}^{2} - x - x + 1$ ${x}^{2} + 12x + 20 = {x}^{2} - 2x + 1$ ${x}^{2} + 2x + 10x + 20 = {x}^{2} - x - x + 1$ x ( x + 2 ) + 10 ( x + 2 ) = x ( x - 1 ) - 1( x - 1 ))) ( x + 2 ) ( x+ 10 ) = ( x- 1 ) ( x- 1 ) ( x = - 2 or x = -10 ) = x = 1

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