1.3(9.8)(1+x)=(1/2)(1620)(x^2)

Solución

1.3 (9.8) (1 + x) = (\frac{1}{2}) (1620) (x^{2})

x = \frac{12.74 + 41439.9076}{1620}, x = \frac{12.74 - 41439.9076}{1620}

Notación decimal

x = 0.13352 \dots, x = - 0.11779 \dots

Pasos de solución

1.3 (9.8) (1 + x) = (\frac{1}{2}) (1620) (x^{2})

Desarrollar

1.3 (9.8) (1 + x) : 12.74 + 12.74 x

Desarrollar

(\frac{1}{2}) (1620) (x^{2}) : 810 x^{2}

12.74 + 12.74 x = 810 x^{2}

Intercambiar lados

810 x^{2} = 12.74 + 12.74 x

Mover

12.74 x

al lado izquierdo

810 x^{2} - 12.74 x = 12.74

Mover

12.74

al lado izquierdo

810 x^{2} - 12.74 x - 12.74 = 0

Resolver con la fórmula general para ecuaciones de segundo grado:

x_{1, 2} = \frac{- ( - 12.74 ) \pm ( - 12.74 ) ^{2} - 4 \cdot 810 ( - 12.74 )}{2 \cdot 810}

(- 12.74)^{2} - 4 \cdot 810 (- 12.74) = 41439.9076

x_{1, 2} = \frac{- ( - 12.74 ) \pm 41439.9076}{2 \cdot 810}

Separar las soluciones

x_{1} = \frac{- ( - 12.74 ) + 41439.9076}{2 \cdot 810}, x_{2} = \frac{- ( - 12.74 ) - 41439.9076}{2 \cdot 810}

x = \frac{- ( - 12.74 ) + 41439.9076}{2 \cdot 810} : \frac{12.74 + 41439.9076}{1620}

x = \frac{- ( - 12.74 ) - 41439.9076}{2 \cdot 810} : \frac{12.74 - 41439.9076}{1620}

Las soluciones a la ecuación de segundo grado son:

x = \frac{12.74 + 41439.9076}{1620}, x = \frac{12.74 - 41439.9076}{1620}

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