0.036s^2+1200s+30000000=0

Lösung

0.036 s^{2} + 1200 s + 30000000 = 0

s = - \frac{50000}{3} + i \frac{- 120000 0 ^{2} + 4320000000000}{72}, s = - \frac{50000}{3} - i \frac{- 120000 0 ^{2} + 4320000000000}{72}

Schritte zur Lösung

0.036 s^{2} + 1200 s + 30000000 = 0

Multipliziere beide Seiten mit

1000

36 s^{2} + 1200000 s + 30000000000 = 0

Löse mit der quadratischen Formel

s_{1, 2} = \frac{- 1200000 \pm 120000 0 ^{2} - 4 \cdot 36 \cdot 30000000000}{2 \cdot 36}

Vereinfache

120000 0^{2} - 4 \cdot 36 \cdot 30000000000 : i - 120000 0^{2} + 4320000000000

s_{1, 2} = \frac{- 1200000 \pm i - 120000 0 ^{2} + 4320000000000}{2 \cdot 36}

Trenne die Lösungen

s_{1} = \frac{- 1200000 + i - 120000 0 ^{2} + 4320000000000}{2 \cdot 36}, s_{2} = \frac{- 1200000 - i - 120000 0 ^{2} + 4320000000000}{2 \cdot 36}

s = \frac{- 1200000 + i - 120000 0 ^{2} + 4320000000000}{2 \cdot 36} : - \frac{50000}{3} + i \frac{- 120000 0 ^{2} + 4320000000000}{72}

s = \frac{- 1200000 - i - 120000 0 ^{2} + 4320000000000}{2 \cdot 36} : - \frac{50000}{3} - i \frac{- 120000 0 ^{2} + 4320000000000}{72}

Die Lösungen für die quadratische Gleichung sind:

s = - \frac{50000}{3} + i \frac{- 120000 0 ^{2} + 4320000000000}{72}, s = - \frac{50000}{3} - i \frac{- 120000 0 ^{2} + 4320000000000}{72}

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