(ax)/(bc)+(bx)/(ac)+(cx)/(ab)=1

Lösung

\frac{a x}{b c} + \frac{b x}{a c} + \frac{c x}{ab} = 1

x = \frac{ab c}{a ^{2} + b ^{2} + c ^{2}}; ab c \neq = 0, a \neq = - b^{2} - c^{2}, a \neq = - - b^{2} - c^{2}

Schritte zur Lösung

\frac{a x}{b c} + \frac{b x}{a c} + \frac{c x}{ab} = 1

Multipliziere mit dem kleinsten gemeinsamen Multiplikator

a^{2} x + b^{2} x + c^{2} x = ab c; ab c \neq = 0

Faktorisiere

a^{2} x + b^{2} x + c^{2} x : x (a^{2} + b^{2} + c^{2})

x (a^{2} + b^{2} + c^{2}) = ab c; ab c \neq = 0

Teile beide Seiten durch

a^{2} + b^{2} + c^{2}; ab c \neq = 0, a \neq = - b^{2} - c^{2}, a \neq = - - b^{2} - c^{2}

x = \frac{ab c}{a ^{2} + b ^{2} + c ^{2}}; ab c \neq = 0, a \neq = - b^{2} - c^{2}, a \neq = - - b^{2} - c^{2}

\frac{4 x}{3} - \frac{3}{2} = \frac{x - 3}{3}

so l v e f or x, y - 2 = 6 x

4 x + 5 = 5

4 x + 4 = 8

4 x + 3 = x