Question 268822
*[Tex \LARGE \frac{9x^2}{x^2-25} + \frac{4x}{5-x} = \frac{x}{x+5} ]


*[Tex \LARGE \frac{9x^2}{(x+5)(x-5)} - \frac{4x}{x-5} = \frac{x}{x+5} ]


*[Tex \LARGE 9x^2 - 4x(x+5) = x(x-5) ]


*[Tex \LARGE 9x^2 - 4x^2-20x = x^2-5x ]


*[Tex \LARGE 4x^2 - 15x = 0]


*[Tex \LARGE x(4x - 15) = 0]


*[Tex \LARGE x=0] or *[Tex \LARGE 4x - 15 = 0]


*[Tex \LARGE x=0] or *[Tex \LARGE x = \frac{15}{4}]


Answers: *[Tex \LARGE x=0] or *[Tex \LARGE x = \frac{15}{4}]