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x= 1/2 (0.004)(5-5000x-0.3)^2

Solución

x = \frac{1}{2} (0.004) (5 - 5000 x - 0.3)^{2}

x = \frac{19 + 7.56}{20000}, x = \frac{19 - 7.56}{20000}

Notación decimal

x = 0.00108 \dots, x = 0.00081 \dots

Pasos de solución

x = \frac{1}{2} (0.004) (5 - 5000 x - 0.3)^{2}

Multiplicar ambos lados por

2

2 x = 0.004 (- 5000 x + 4.7)^{2}

Desarrollar

0.004 (- 5000 x + 4.7)^{2} : 100000 x^{2} - 188 x + 0.08836

2 x = 100000 x^{2} - 188 x + 0.08836

Intercambiar lados

100000 x^{2} - 188 x + 0.08836 = 2 x

Mover

2 x

al lado izquierdo

100000 x^{2} - 190 x + 0.08836 = 0

Dividir ambos lados entre

100000

\frac{100000 x ^{2}}{100000} - \frac{190 x}{100000} + \frac{0.08836}{100000} = \frac{0}{100000}

Escribir en la forma binómica

a x^{2} + b x + c = 0

x^{2} - \frac{19 x}{10000} + \frac{0.08836}{100000} = 0

Resolver con la fórmula general para ecuaciones de segundo grado:

x_{1, 2} = \frac{- ( - \frac{19}{10000} ) \pm ( - \frac{19}{10000} ) ^{2} - 4 \cdot 1 \cdot \frac{0.08836}{100000}}{2 \cdot 1}

(- \frac{19}{10000})^{2} - 4 \cdot 1 \cdot \frac{0.08836}{100000} = \frac{7.56}{10000}

x_{1, 2} = \frac{- ( - \frac{19}{10000} ) \pm \frac{7.56}{10000}}{2 \cdot 1}

Separar las soluciones

x_{1} = \frac{- ( - \frac{19}{10000} ) + \frac{7.56}{10000}}{2 \cdot 1}, x_{2} = \frac{- ( - \frac{19}{10000} ) - \frac{7.56}{10000}}{2 \cdot 1}

x = \frac{- ( - \frac{19}{10000} ) + \frac{7.56}{10000}}{2 \cdot 1} : \frac{19 + 7.56}{20000}

x = \frac{- ( - \frac{19}{10000} ) - \frac{7.56}{10000}}{2 \cdot 1} : \frac{19 - 7.56}{20000}

Las soluciones a la ecuación de segundo grado son:

x = \frac{19 + 7.56}{20000}, x = \frac{19 - 7.56}{20000}

x, x^{2} y^{2} - 16 x y^{2} + 64 y^{2} = x^{2} + 2 x - 15

0 = 12 x^{2} - 84 x + 104

0 = 43 - 4 t - 5 t^{2}

x, 5 x^{2} - 2 x y - 6 x - 25 y - 19 = 0

a x^{2} = b