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Beliebt Algebra >

x/((x+1))+((x+1))/x = 21/12

Lösung

\frac{x}{( x + 1 )} + \frac{( x + 1 )}{x} = \frac{21}{12}

Lösung

x = - \frac{1}{2} + i \frac{15}{2}, x = - \frac{1}{2} - i \frac{15}{2}

Schritte zur Lösung

\frac{x}{( x + 1 )} + \frac{( x + 1 )}{x} = \frac{21}{12}

Multipliziere mit dem kleinsten gemeinsamen Multiplikator

12 x^{2} + 12 (x + 1)^{2} = 21 x (x + 1)

Löse

12 x^{2} + 12 (x + 1)^{2} = 21 x (x + 1) : x = - \frac{1}{2} + i \frac{15}{2}, x = - \frac{1}{2} - i \frac{15}{2}

x = - \frac{1}{2} + i \frac{15}{2}, x = - \frac{1}{2} - i \frac{15}{2}

Graph

Beliebte Beispiele

\frac{2}{5} = \frac{2.4}{b}

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\frac{( a ^{3} - 16 )}{8 a} = \frac{3}{8 \cdot a ^{2}}

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2(x-[ 1/x ])^2+3(x+[ 1/x ])-12=0

2 (x - [\frac{1}{x}])^{2} + 3 (x + [\frac{1}{x}]) - 12 = 0