1.

X-1/x+1 - x+1/x-1=2/3 check whether they are quadratic equations or not​

Answer»

Answer:

\frac{x - 1}{x + 1} - \frac{ x + 1}{x - 1} = \frac{2}{3} \\ \\ = > \frac{(x - 1)(x - 1) - (x + 1)(x + 1)}{(x + 1)(x - 1)} = \frac{2}{3} \\ \\ = > \frac{ {(x - 1)}^{2} - {(x + 1)}^{2} }{(x + 1)( x - 1)} = \frac{2}{3} \\ \\ = > \frac{ {x}^{2} - 2x + 1 - ( {x}^{2} + 2x + 1) }{ {x}^{2} - x + x - 1} = \frac{2}{3} \\ \\ = > \frac{ {x}^{2} - 2x + 1 - {x}^{2} - 2x - 1}{ {x}^{2} - 1 } = \frac{2}{3} \\ \\ = > \frac{4x}{ {x}^{2} - 1} = \frac{2}{3} \\ \\ = > 2 {x}^{2} - 2 = 12x \\ \\ = > 2 {x}^{2} - 12x - 2 = <klux>0</klux>

☞ So it is an quadratic equation.

Note :

Quadratic Equation are always in the FORM :

ax^2 + BX + C = 0

# keep SMILING ☺


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