19x-6x^2-10=0

Lösung

19 x - 6 x^{2} - 10 = 0

x = \frac{2}{3}, x = \frac{5}{2}

Dezimale

x = 0.66666 \dots, x = 2.5

Schritte zur Lösung

19 x - 6 x^{2} - 10 = 0

Schreibe in der Standard Form

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

- 6 x^{2} + 19 x - 10 = 0

Löse mit der quadratischen Formel

x_{1, 2} = \frac{- 19 \pm 1 9 ^{2} - 4 ( - 6 ) ( - 10 )}{2 ( - 6 )}

1 9^{2} - 4 (- 6) (- 10) = 11

x_{1, 2} = \frac{- 19 \pm 11}{2 ( - 6 )}

Trenne die Lösungen

x_{1} = \frac{- 19 + 11}{2 ( - 6 )}, x_{2} = \frac{- 19 - 11}{2 ( - 6 )}

x = \frac{- 19 + 11}{2 ( - 6 )} : \frac{2}{3}

x = \frac{- 19 - 11}{2 ( - 6 )} : \frac{5}{2}

Die Lösungen für die quadratische Gleichung sind:

x = \frac{2}{3}, x = \frac{5}{2}

20 x^{2} + 33 x + 10 = 0

x^{2} + (x + 6)^{2} = (x + 12)^{2}

x = - \frac{1}{20} x^{2}

b^{2} = 3

b^{2} = 8