x(mx+b)/(x-b)=c

Lösung

x \frac{m x + b}{x - b} = c

x = \frac{- b + c + ( b - c ) ^{2} - 4 mb c}{2 m}, x = \frac{- b + c - ( b - c ) ^{2} - 4 mb c}{2 m}; m \neq = 0

Schritte zur Lösung

x \frac{m x + b}{x - b} = c

Vereinfache

x \frac{m x + b}{x - b} : \frac{x ( m x + b )}{x - b}

\frac{x ( m x + b )}{x - b} = c

Multipliziere beide Seiten mit

x - b

x (m x + b) = c (x - b)

Löse

x (m x + b) = c (x - b) : x = \frac{- b + c + ( b - c ) ^{2} - 4 mb c}{2 m}, x = \frac{- b + c - ( b - c ) ^{2} - 4 mb c}{2 m}; m \neq = 0

x = \frac{- b + c + ( b - c ) ^{2} - 4 mb c}{2 m}, x = \frac{- b + c - ( b - c ) ^{2} - 4 mb c}{2 m}; m \neq = 0

so l v e f or y, - \frac{1}{y} = t + c

\frac{2.5}{x} = \frac{5}{8}

5 - \frac{2 x}{3 - x} = \frac{6}{x - 3}

\frac{5}{7 x} = \frac{2}{3 x}

so l v e f or y, x = \frac{8 y}{y + 5}