2((x-1))/((x-3))-3((x+3))/((x-1))=5l

Lösung

2 \frac{( x - 1 )}{( x - 3 )} - 3 \frac{( x + 3 )}{( x - 1 )} = 5 l

x = \frac{2 - 10 l + 25 l ^{2} + 90 l + 33}{- 1 - 5 l}, x = \frac{2 - 10 l - 25 l ^{2} + 90 l + 33}{- 1 - 5 l}; l \neq = - \frac{1}{5}

Schritte zur Lösung

2 \cdot \frac{( x - 1 )}{( x - 3 )} - 3 \cdot \frac{( x + 3 )}{( x - 1 )} = 5 l

Multipliziere mit dem kleinsten gemeinsamen Multiplikator

2 (x - 1)^{2} - 3 (x + 3) (x - 3) = 5 l (x - 3) (x - 1)

Löse

2 (x - 1)^{2} - 3 (x + 3) (x - 3) = 5 l (x - 3) (x - 1) : x = \frac{2 - 10 l + 25 l ^{2} + 90 l + 33}{- 1 - 5 l}, x = \frac{2 - 10 l - 25 l ^{2} + 90 l + 33}{- 1 - 5 l}; l \neq = - \frac{1}{5}

x = \frac{2 - 10 l + 25 l ^{2} + 90 l + 33}{- 1 - 5 l}, x = \frac{2 - 10 l - 25 l ^{2} + 90 l + 33}{- 1 - 5 l}; l \neq = - \frac{1}{5}

\frac{2}{4 y + 8} = 0

x^{- 2} - x^{- 1} - 6 = 0

\frac{( 2 x ^{2} + 9 x - 5 )}{( x ^{4} + 1 )} = 0

437 = \frac{( x + 7 )}{2 \cdot 3 ( - 4 + x )}

\frac{1}{2 x [ \frac{3}{4} + x ]} = - \frac{7}{10}