1250000+60000x-6000x^2=0

Lösung

1250000 + 60000 x - 6000 x^{2} = 0

x = - \frac{- 60000 + 6000 0 ^{2} + 30000000000}{12000}, x = \frac{6000 0 ^{2} + 30000000000 + 60000}{12000}

Dezimale

x = - 10.27525 \dots, x = 20.27525 \dots

Schritte zur Lösung

1250000 + 60000 x - 6000 x^{2} = 0

Schreibe in der Standard Form

a x^{2} + b x + c = 0

- 6000 x^{2} + 60000 x + 1250000 = 0

Löse mit der quadratischen Formel

x_{1, 2} = \frac{- 60000 \pm 6000 0 ^{2} - 4 ( - 6000 ) \cdot 1250000}{2 ( - 6000 )}

6000 0^{2} - 4 (- 6000) \cdot 1250000 = 6000 0^{2} + 30000000000

x_{1, 2} = \frac{- 60000 \pm 6000 0 ^{2} + 30000000000}{2 ( - 6000 )}

Trenne die Lösungen

x_{1} = \frac{- 60000 + 6000 0 ^{2} + 30000000000}{2 ( - 6000 )}, x_{2} = \frac{- 60000 - 6000 0 ^{2} + 30000000000}{2 ( - 6000 )}

x = \frac{- 60000 + 6000 0 ^{2} + 30000000000}{2 ( - 6000 )} : - \frac{- 60000 + 6000 0 ^{2} + 30000000000}{12000}

x = \frac{- 60000 - 6000 0 ^{2} + 30000000000}{2 ( - 6000 )} : \frac{6000 0 ^{2} + 30000000000 + 60000}{12000}

Die Lösungen für die quadratische Gleichung sind:

x = - \frac{- 60000 + 6000 0 ^{2} + 30000000000}{12000}, x = \frac{6000 0 ^{2} + 30000000000 + 60000}{12000}

x^{2} - 40 x + 240 = 0

x^{2} - 4 x + 3 = 2 x^{2} + 2 x + 3

2 w^{2} - 5 w = 3

a^{2} = \frac{1}{2}

5 x^{2} + 8 x + 80 = 0