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Beliebt Algebra >

x/(x-2)+2/x = 5/x

Lösung

\frac{x}{x - 2} + \frac{2}{x} = \frac{5}{x}

Lösung

x = \frac{3}{2} + i \frac{15}{2}, x = \frac{3}{2} - i \frac{15}{2}

Schritte zur Lösung

\frac{x}{x - 2} + \frac{2}{x} = \frac{5}{x}

Multipliziere mit dem kleinsten gemeinsamen Multiplikator

x^{2} + 2 (x - 2) = 5 (x - 2)

Löse

x^{2} + 2 (x - 2) = 5 (x - 2) : x = \frac{3}{2} + i \frac{15}{2}, x = \frac{3}{2} - i \frac{15}{2}

x = \frac{3}{2} + i \frac{15}{2}, x = \frac{3}{2} - i \frac{15}{2}

Graph

Beliebte Beispiele

2.4=1+(0.08*g)/(1.1-g)

2.4 = 1 + \frac{0.08 \cdot g}{1.1 - g}

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

\frac{1 - x}{x + 3} = \frac{2 - x}{x + 1}

2/(2x-7)= 2/(4x+1)

\frac{2}{2 x - 7} = \frac{2}{4 x + 1}

(8x)/(x+1)-5= 8/(x^2+x)

\frac{8 x}{x + 1} - 5 = \frac{8}{x ^{2} + x}

solvefor y,y^2=(x^2-49)/(x^2+49)

so l v e f or y, y^{2} = \frac{x ^{2} - 49}{x ^{2} + 49}