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Popular >

x=0.50.0005(-(400000x-5)-0.8)^2

Solución

x = 0.5 \cdot 0.0005 (- (400000 \cdot x - 5) - 0.8)^{2}

Solución

x = \frac{841}{80000000}

+1

Notación decimal

x = 0.0000105125

Pasos de solución

x = 0.5 \cdot 0.0005 (- (400000 x - 5) - 0.8)^{2}

Desarrollar

0.5 \cdot 0.0005 (- (400000 x - 5) - 0.8)^{2} : 40000 0^{2} \cdot 0.00025 x^{2} - 840 x + 0.00441

x = 40000 0^{2} \cdot 0.00025 x^{2} - 840 x + 0.00441

Intercambiar lados

40000 0^{2} \cdot 0.00025 x^{2} - 840 x + 0.00441 = x

Mover

x

al lado izquierdo

40000 0^{2} \cdot 0.00025 x^{2} - 841 x + 0.00441 = 0

Dividir ambos lados entre

40000000

\frac{40000 0 ^{2} \cdot 0.00025 x ^{2}}{40000000} - \frac{841 x}{40000000} + \frac{0.00441}{40000000} = \frac{0}{40000000}

Escribir en la forma binómica

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

x^{2} - \frac{841 x}{40000000} + \frac{0.00441}{40000000} = 0

Resolver con la fórmula general para ecuaciones de segundo grado:

x_{1, 2} = \frac{- ( - \frac{841}{40000000} ) \pm ( - \frac{841}{40000000} ) ^{2} - 4 \cdot 1 \cdot \frac{0.00441}{40000000}}{2 \cdot 1}

(- \frac{841}{40000000})^{2} - 4 \cdot 1 \cdot \frac{0.00441}{40000000} = \frac{707281}{4000000 0 ^{2}} - \frac{0.01764}{40000000}

x_{1, 2} = \frac{- ( - \frac{841}{40000000} ) \pm 0}{2 \cdot 1}

x = \frac{- ( - \frac{841}{40000000} )}{2 \cdot 1}

\frac{- ( - \frac{841}{40000000} )}{2 \cdot 1} = \frac{841}{80000000}

x = \frac{841}{80000000}

La solución a la ecuación de segundo grado es:

x = \frac{841}{80000000}

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