x^2+6540/14500 x+34000/14500 =0

Lösung

x^{2} + \frac{6540}{14500} x + \frac{34000}{14500} = 0

x = - \frac{327}{1450} + i \frac{4823071}{1450}, x = - \frac{327}{1450} - i \frac{4823071}{1450}

Schritte zur Lösung

x^{2} + \frac{6540}{14500} x + \frac{34000}{14500} = 0

Multipliziere beide Seiten mit

14500

14500 x^{2} + 6540 x + 34000 = 0

Teile beide Seiten durch

14500

\frac{14500 x ^{2}}{14500} + \frac{6540 x}{14500} + \frac{34000}{14500} = \frac{0}{14500}

Schreibe in der Standard Form

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

x^{2} + \frac{327 x}{725} + \frac{68}{29} = 0

Löse mit der quadratischen Formel

x_{1, 2} = \frac{- \frac{327}{725} \pm ( \frac{327}{725} ) ^{2} - 4 \cdot 1 \cdot \frac{68}{29}}{2 \cdot 1}

Vereinfache

(\frac{327}{725})^{2} - 4 \cdot 1 \cdot \frac{68}{29} : i \frac{4823071}{725}

x_{1, 2} = \frac{- \frac{327}{725} \pm i \frac{4823071}{725}}{2 \cdot 1}

Trenne die Lösungen

x_{1} = \frac{- \frac{327}{725} + i \frac{4823071}{725}}{2 \cdot 1}, x_{2} = \frac{- \frac{327}{725} - i \frac{4823071}{725}}{2 \cdot 1}

x = \frac{- \frac{327}{725} + i \frac{4823071}{725}}{2 \cdot 1} : - \frac{327}{1450} + i \frac{4823071}{1450}

x = \frac{- \frac{327}{725} - i \frac{4823071}{725}}{2 \cdot 1} : - \frac{327}{1450} - i \frac{4823071}{1450}

Die Lösungen für die quadratische Gleichung sind:

x = - \frac{327}{1450} + i \frac{4823071}{1450}, x = - \frac{327}{1450} - i \frac{4823071}{1450}

- 8 x^{2} + 1.24 x = - 0.8

x^{2} + 11 x - 27 = 5 x

x^{2} + 4 x + 4 + 8 = 0

\frac{x - 4}{4} + \frac{2 ( x - 5 )}{5} = \frac{x ^{2} - 53}{5}

x^{2} - 14 x + 39 = 0