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    • https://espanol.libretexts.org/Matematicas/Algebra/Libro%3A_Algebra_elemental_(Arnold)/07%3A_Expresiones_racionales/7.04%3A_Resolver_ecuaciones_racionales
      \[\begin{align*} 2-\dfrac{9}{x} &= \dfrac{5}{x^2} \quad \color {Red} \text {Original equation.}\\ {\color {Red} x^2}\left [2-\dfrac{9}{x} \right ] &= \left [\dfrac{5}{x^2} \right ] {\color {Red} x^2} ...\[\begin{align*} 2-\dfrac{9}{x} &= \dfrac{5}{x^2} \quad \color {Red} \text {Original equation.}\\ {\color {Red} x^2}\left [2-\dfrac{9}{x} \right ] &= \left [\dfrac{5}{x^2} \right ] {\color {Red} x^2} \quad \color {Red} \text {Multiply both sides by } x^2\\ {\color {Red} x^2}[2]-{\color {Red} x^2}\left [\dfrac{9}{x} \right ] &= \left [\dfrac{5}{x^2} \right ] {\color {Red} x^2} \quad \color {Red} \text {Distribute } x^2 \\ 2x^2-9x &= 5 \quad \color {Red} \text {Cancel and Simplify.} \end{align*} …

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