12x^2-116x+190=0

Lösung

12 x^{2} - 116 x + 190 = 0

x = \frac{29 + 271}{6}, x = \frac{29 - 271}{6}

Dezimale

x = 7.57701 \dots, x = 2.08965 \dots

Schritte zur Lösung

12 x^{2} - 116 x + 190 = 0

Löse mit der quadratischen Formel

x_{1, 2} = \frac{- ( - 116 ) \pm ( - 116 ) ^{2} - 4 \cdot 12 \cdot 190}{2 \cdot 12}

(- 116)^{2} - 4 \cdot 12 \cdot 190 = 4271

x_{1, 2} = \frac{- ( - 116 ) \pm 4 271}{2 \cdot 12}

Trenne die Lösungen

x_{1} = \frac{- ( - 116 ) + 4 271}{2 \cdot 12}, x_{2} = \frac{- ( - 116 ) - 4 271}{2 \cdot 12}

x = \frac{- ( - 116 ) + 4 271}{2 \cdot 12} : \frac{29 + 271}{6}

x = \frac{- ( - 116 ) - 4 271}{2 \cdot 12} : \frac{29 - 271}{6}

Die Lösungen für die quadratische Gleichung sind:

x = \frac{29 + 271}{6}, x = \frac{29 - 271}{6}

0 = - x^{2} + 2 x - 1

x^{2} + (\frac{a}{a + b} + \frac{a + b}{a}) x + 1 = 0

3 x^{2} - x - 24 = 0

6 x^{2} - 8 x + 5 = 0

2 x^{2} - 8 x - 16 = 0