-12x^2+18x+2=0

Lösung

- 12 x^{2} + 18 x + 2 = 0

x = - \frac{- 9 + 105}{12}, x = \frac{9 + 105}{12}

Dezimale

x = - 0.10391 \dots, x = 1.60391 \dots

Schritte zur Lösung

- 12 x^{2} + 18 x + 2 = 0

Löse mit der quadratischen Formel

x_{1, 2} = \frac{- 18 \pm 1 8 ^{2} - 4 ( - 12 ) \cdot 2}{2 ( - 12 )}

1 8^{2} - 4 (- 12) \cdot 2 = 2105

x_{1, 2} = \frac{- 18 \pm 2 105}{2 ( - 12 )}

Trenne die Lösungen

x_{1} = \frac{- 18 + 2 105}{2 ( - 12 )}, x_{2} = \frac{- 18 - 2 105}{2 ( - 12 )}

x = \frac{- 18 + 2 105}{2 ( - 12 )} : - \frac{- 9 + 105}{12}

x = \frac{- 18 - 2 105}{2 ( - 12 )} : \frac{9 + 105}{12}

Die Lösungen für die quadratische Gleichung sind:

x = - \frac{- 9 + 105}{12}, x = \frac{9 + 105}{12}

2 x^{2} = x + 21

2 x^{2} + 12 x - 4 = 0

x^{2} = (x - 9)^{2} + (x - 8)^{2}

x^{2} = 3^{2} + 5^{2}

7 x^{2} - 25 x = 0