x(ax+b)/(cx+d)=2

Lösung

x \frac{a x + b}{c x + d} = 2

x = \frac{- b + 2 c + ( b - 2 c ) ^{2} + 8 a d}{2 a}, x = \frac{- b + 2 c - ( b - 2 c ) ^{2} + 8 a d}{2 a}; a \neq = 0

Schritte zur Lösung

x \frac{a x + b}{c x + d} = 2

Vereinfache

x \frac{a x + b}{c x + d} : \frac{x ( a x + b )}{c x + d}

\frac{x ( a x + b )}{c x + d} = 2

Multipliziere beide Seiten mit

c x + d

x (a x + b) = 2 (c x + d)

Löse

x (a x + b) = 2 (c x + d) : x = \frac{- b + 2 c + ( b - 2 c ) ^{2} + 8 a d}{2 a}, x = \frac{- b + 2 c - ( b - 2 c ) ^{2} + 8 a d}{2 a}; a \neq = 0

x = \frac{- b + 2 c + ( b - 2 c ) ^{2} + 8 a d}{2 a}, x = \frac{- b + 2 c - ( b - 2 c ) ^{2} + 8 a d}{2 a}; a \neq = 0

\frac{x - 3}{x} = \frac{4}{5}

\frac{5}{2 x} + \frac{x + 7}{x + 4} = 2

\frac{x - 2}{x ^{2} - 4} = 0

z + 4 + \frac{12}{z} = 0

j (x) = \frac{1}{x + 1}