5.9*10^{-2}=(x^2)/(0.0288-x)

Solución

5.9 \cdot 1 0^{- 2} = \frac{x ^{2}}{0.0288 - x}

x = \frac{- 5.9 + 102.778}{200}, x = \frac{- 5.9 - 102.778}{200}

Notación decimal

x = 0.02118 \dots, x = - 0.08018 \dots

Pasos de solución

5.9 \cdot 1 0^{- 2} = \frac{x ^{2}}{0.0288 - x}

Simplificar

\frac{5.9}{100} = \frac{x ^{2}}{0.0288 - x}

Utilizar multiplicación cruzada (regla de tres)

5.9 (0.0288 - x) = 100 x^{2}

Resolver

5.9 (0.0288 - x) = 100 x^{2} : x = \frac{- 5.9 + 102.778}{200}, x = \frac{- 5.9 - 102.778}{200}

x = \frac{- 5.9 + 102.778}{200}, x = \frac{- 5.9 - 102.778}{200}

Verificar las soluciones

Encontrar los puntos no definidos (singularidades):

x = 0.0288

Combinar los puntos no definidos con las soluciones:

x = \frac{- 5.9 + 102.778}{200}, x = \frac{- 5.9 - 102.778}{200}

\frac{x}{4} - \frac{5}{2 x} = \frac{1}{4 x}

2 x - x^{- 2} = 0

\frac{1}{6} + \frac{1}{4} = \frac{1}{x}

\frac{4 x ^{2}}{40 x} = 3

\frac{x ^{2} - x}{x + 2} = \frac{2 x - 4}{x - 2}