11x((2(-2x+11))/5)=66

Lösung

11 x (\frac{2 ( - 2 x + 11 )}{5}) = 66

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

Dezimale

x = 2.5, x = 3

Schritte zur Lösung

11 x (\frac{2 ( - 2 x + 11 )}{5}) = 66

Schreibe

11 x (\frac{2 ( - 2 x + 11 )}{5})

um:

- \frac{44 x ^{2}}{5} + \frac{242 x}{5}

- \frac{44 x ^{2}}{5} + \frac{242 x}{5} = 66

Verschiebe

66

auf die linke Seite

\frac{- 44 x ^{2} + 242 x}{5} - 66 = 0

Schreibe in der Standard Form

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

- \frac{44 x ^{2}}{5} + \frac{242 x}{5} - 66 = 0

Löse mit der quadratischen Formel

x_{1, 2} = \frac{- \frac{242}{5} \pm ( \frac{242}{5} ) ^{2} - 4 ( - \frac{44}{5} ) ( - 66 )}{2 ( - \frac{44}{5} )}

(\frac{242}{5})^{2} - 4 (- \frac{44}{5}) (- 66) = \frac{22}{5}

x_{1, 2} = \frac{- \frac{242}{5} \pm \frac{22}{5}}{2 ( - \frac{44}{5} )}

Trenne die Lösungen

x_{1} = \frac{- \frac{242}{5} + \frac{22}{5}}{2 ( - \frac{44}{5} )}, x_{2} = \frac{- \frac{242}{5} - \frac{22}{5}}{2 ( - \frac{44}{5} )}

x = \frac{- \frac{242}{5} + \frac{22}{5}}{2 ( - \frac{44}{5} )} : \frac{5}{2}

x = \frac{- \frac{242}{5} - \frac{22}{5}}{2 ( - \frac{44}{5} )} : 3

Die Lösungen für die quadratische Gleichung sind:

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

8 x^{2} + 7 x + 6 = 37

x^{2} - 10 a x + 9 a^{2} = 0

p^{2} + 11 p + 28 = 0

3 x (x - 2) - 2 (x - 1) (x + 3) = 0

lo g_{b} (7) x^{2} - lo g_{b} (49) = 0