0=x(75-0.0005x)-30x+250000

Lösung

0 = x (75 - 0.0005 x) - 30 x + 250000

x = - \frac{- 45 + 5 101}{0.001}, x = \frac{45 + 5 101}{0.001}

Dezimale

x = - 5249.37810 \dots, x = 95249.37810 \dots

Schritte zur Lösung

0 = x (75 - 0.0005 x) - 30 x + 250000

Schreibe

x (75 - 0.0005 x) - 30 x + 250000

um:

- 0.0005 x^{2} + 45 x + 250000

0 = - 0.0005 x^{2} + 45 x + 250000

Tausche die Seiten

- 0.0005 x^{2} + 45 x + 250000 = 0

Löse mit der quadratischen Formel

x_{1, 2} = \frac{- 45 \pm 4 5 ^{2} - 4 ( - 0.0005 ) \cdot 250000}{2 ( - 0.0005 )}

4 5^{2} - 4 (- 0.0005) \cdot 250000 = 5101

x_{1, 2} = \frac{- 45 \pm 5 101}{2 ( - 0.0005 )}

Trenne die Lösungen

x_{1} = \frac{- 45 + 5 101}{2 ( - 0.0005 )}, x_{2} = \frac{- 45 - 5 101}{2 ( - 0.0005 )}

x = \frac{- 45 + 5 101}{2 ( - 0.0005 )} : - \frac{- 45 + 5 101}{0.001}

x = \frac{- 45 - 5 101}{2 ( - 0.0005 )} : \frac{45 + 5 101}{0.001}

Die Lösungen für die quadratische Gleichung sind:

x = - \frac{- 45 + 5 101}{0.001}, x = \frac{45 + 5 101}{0.001}

g^{2} - 10 g + 7 = 0

3 x (x + 1) = (3 x + 2) (2 x + 4)

(x + 8) (x + 4) = 5^{1}

6 (x + 1) = (4 - x) (7 + x)

0 = 12 x^{2} - 180 x + 464