x=0.5714-2000(0.00249(1-x/(-2))^2)

Lösung

x = 0.5714 - 2000 (0.00249 (1 - \frac{x}{- 2})^{2})

x = - \frac{4 ( 5.98 + 13.805572 )}{9.96}, x = - \frac{4 ( 5.98 - 13.805572 )}{9.96}

Dezimale

x = - 3.89380 \dots, x = - 0.90940 \dots

Schritte zur Lösung

x = 0.5714 - 2000 (0.00249 (1 - \frac{x}{- 2})^{2})

Schreibe

0.5714 - 2000 (0.00249 (1 - \frac{x}{- 2})^{2})

um:

- \frac{4.98 x ^{2}}{4} - 4.98 x - 4.4086

x = - \frac{4.98 x ^{2}}{4} - 4.98 x - 4.4086

Tausche die Seiten

- \frac{4.98 x ^{2}}{4} - 4.98 x - 4.4086 = x

Verschiebe

x

auf die linke Seite

- \frac{4.98 x ^{2}}{4} - 5.98 x - 4.4086 = 0

Löse mit der quadratischen Formel

x_{1, 2} = \frac{- ( - 5.98 ) \pm ( - 5.98 ) ^{2} - 4 ( - \frac{4.98}{4} ) ( - 4.4086 )}{2 ( - \frac{4.98}{4} )}

(- 5.98)^{2} - 4 (- \frac{4.98}{4}) (- 4.4086) = 13.805572

x_{1, 2} = \frac{- ( - 5.98 ) \pm 13.805572}{2 ( - \frac{4.98}{4} )}

Trenne die Lösungen

x_{1} = \frac{- ( - 5.98 ) + 13.805572}{2 ( - \frac{4.98}{4} )}, x_{2} = \frac{- ( - 5.98 ) - 13.805572}{2 ( - \frac{4.98}{4} )}

x = \frac{- ( - 5.98 ) + 13.805572}{2 ( - \frac{4.98}{4} )} : - \frac{4 ( 5.98 + 13.805572 )}{9.96}

x = \frac{- ( - 5.98 ) - 13.805572}{2 ( - \frac{4.98}{4} )} : - \frac{4 ( 5.98 - 13.805572 )}{9.96}

Die Lösungen für die quadratische Gleichung sind:

x = - \frac{4 ( 5.98 + 13.805572 )}{9.96}, x = - \frac{4 ( 5.98 - 13.805572 )}{9.96}

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