completesquare 2.1x^2-6.1x+3900=4000000

Solución

2.1 x^{2} - 6.1 x + 3900 = 4000000

x = \frac{3356727721 + 61}{42}, x = \frac{- 3356727721 + 61}{42}

Notación decimal

x = 1380.91128 \dots, x = - 1378.00652 \dots

Pasos de solución

2.1 x^{2} - 6.1 x + 3900 = 4000000

Multiplicar ambos lados por

10

21 x^{2} - 61 x + 39000 = 40000000

Mover

39000

al lado derecho

21 x^{2} - 61 x = 39961000

Dividir ambos lados entre

21

\frac{21 x ^{2} - 61 x}{21} = \frac{39961000}{21}

x^{2} - \frac{61 x}{21} = \frac{39961000}{21}

Reescribir en la forma

(x + a)^{2} = b

(x - \frac{61}{42})^{2} = \frac{3356727721}{1764}

Para

f^{2} (x) = a

las soluciones son

f (x) = a, - a

Resolver

x - \frac{61}{42} = \frac{3356727721}{1764} : x = \frac{3356727721 + 61}{42}

Resolver

x - \frac{61}{42} = - \frac{3356727721}{1764} : x = \frac{- 3356727721 + 61}{42}

Las soluciones a la ecuación de segundo grado son:

x = \frac{3356727721 + 61}{42}, x = \frac{- 3356727721 + 61}{42}

x^{2} = 36 - 9 x

1 8^{2} + b^{2} = 3 6^{2}

- 0.32 x^{2} + 37 x + 627 = 0

\frac{2}{25} (\frac{k ^{2}}{2} - (\frac{5}{2})^{2}) - \frac{2}{5} (k - 5) = 1

\frac{x ^{2}}{5} = 20