-8h^2+l_{1}+6h*l_{1}=0

Lösung

- 8 h^{2} + l_{1} + 6 h \cdot l_{1} = 0

h = - \frac{- 3 l _{1} + l _{1} ( 9 l _{1} + 8 )}{8}, h = \frac{3 l _{1} + l _{1} ( 9 l _{1} + 8 )}{8}

Schritte zur Lösung

- 8 h^{2} + l_{1} + 6 h l_{1} = 0

Schreibe in der Standard Form

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

- 8 h^{2} + 6 l_{1} h + l_{1} = 0

Löse mit der quadratischen Formel

h_{1, 2} = \frac{- 6 l _{1} \pm ( 6 l _{1} ) ^{2} - 4 ( - 8 ) l _{1}}{2 ( - 8 )}

Vereinfache

(6 l_{1})^{2} - 4 (- 8) l_{1} : 2 l_{1} (9 l_{1} + 8)

h_{1, 2} = \frac{- 6 l _{1} \pm 2 l _{1} ( 9 l _{1} + 8 )}{2 ( - 8 )}

Trenne die Lösungen

h_{1} = \frac{- 6 l _{1} + 2 l _{1} ( 9 l _{1} + 8 )}{2 ( - 8 )}, h_{2} = \frac{- 6 l _{1} - 2 l _{1} ( 9 l _{1} + 8 )}{2 ( - 8 )}

h = \frac{- 6 l _{1} + 2 l _{1} ( 9 l _{1} + 8 )}{2 ( - 8 )} : - \frac{- 3 l _{1} + l _{1} ( 9 l _{1} + 8 )}{8}

h = \frac{- 6 l _{1} - 2 l _{1} ( 9 l _{1} + 8 )}{2 ( - 8 )} : \frac{3 l _{1} + l _{1} ( 9 l _{1} + 8 )}{8}

Die Lösungen für die quadratische Gleichung sind:

h = - \frac{- 3 l _{1} + l _{1} ( 9 l _{1} + 8 )}{8}, h = \frac{3 l _{1} + l _{1} ( 9 l _{1} + 8 )}{8}

- 5 x^{2} + 34 x - 24 = 0

x^{1} + 2 x^{2} = 5

x (4 - x) + 5 x = x^{2} + 3 x

6 x^{2} - 29 x + 35 = 0

14.6689 = x^{2} + x