(-1543)/(120)= 3/5 x 11/4 (-11/5 x 8/5)

Lösung

\frac{- 1543}{120} = \frac{3}{5} x \frac{11}{4} (- \frac{11}{5} x \frac{8}{5})

x = \frac{5 1543}{132}, x = - \frac{5 1543}{132}

Dezimale

x = 1.48791 \dots, x = - 1.48791 \dots

Schritte zur Lösung

\frac{- 1543}{120} = \frac{3}{5} x \frac{11}{4} (- \frac{11}{5} x \frac{8}{5})

Tausche die Seiten

\frac{3}{5} x \frac{11}{4} (- \frac{11}{5} x \frac{8}{5}) = \frac{- 1543}{120}

Vereinfache

- \frac{726 x ^{2}}{125} = - \frac{1543}{120}

Teile beide Seiten durch

- \frac{726}{125}

\frac{- \frac{726 x ^{2}}{125}}{- \frac{726}{125}} = \frac{- \frac{1543}{120}}{- \frac{726}{125}}

x^{2} = \frac{38575}{17424}

Für

x^{2} = f (a)

sind die Lösungen

x = f (a), - f (a)

x = \frac{38575}{17424}, x = - \frac{38575}{17424}

\frac{38575}{17424} = \frac{5 1543}{132}

- \frac{38575}{17424} = - \frac{5 1543}{132}

x = \frac{5 1543}{132}, x = - \frac{5 1543}{132}

- x^{2} + 1000 x = 0

(x) (x - 5) = 234

13500 x^{2} + 52000000 x + 33000 = 0

(3 x + 2) (x - 5) = 0

x^{2} - 4 x = x - 4