(0.4)(9.8)(0.1)= 200/2 (x-0.1)^2

Solución

(0.4) (9.8) (0.1) = \frac{200}{2} (x - 0.1)^{2}

x = 0.00392 + 0.1, x = - 0.00392 + 0.1

Notación decimal

x = 0.16260 \dots, x = 0.03739 \dots

Pasos de solución

(0.4) (9.8) (0.1) = \frac{200}{2} (x - 0.1)^{2}

Intercambiar lados

\frac{200}{2} (x - 0.1)^{2} = (0.4) (9.8) (0.1)

Quitar los parentesis:

(a) = a

\frac{200}{2} (x - 0.1)^{2} = 0.4 \cdot 9.8 \cdot 0.1

Multiplicar los numeros:

0.4 \cdot 9.8 \cdot 0.1 = 0.392

\frac{200}{2} (x - 0.1)^{2} = 0.392

Dividir ambos lados entre

100

(x - 0.1)^{2} = 0.00392

Para

(g (x))^{2} = f (a)

las soluciones son

g (x) = f (a), - f (a)

Resolver

x - 0.1 = 0.00392 : x = 0.00392 + 0.1

Resolver

x - 0.1 = - 0.00392 : x = - 0.00392 + 0.1

Las soluciones a la ecuación de segundo grado son:

x = 0.00392 + 0.1, x = - 0.00392 + 0.1

x^{2} - 27 x = - 162

x^{2} + 12 x + 45

x^{2} + 6 x - 2 = 0

196 = 112 t - 16 t^{2}

x (x + 6) = 160