x/a-a/x =x-a

Lösung

\frac{x}{a} - \frac{a}{x} = x - a

x = \frac{- a ^{2} + a a ^{2} + 4 ( 1 - a )}{2 ( 1 - a )}, x = \frac{- a ^{2} - a a ^{2} + 4 ( 1 - a )}{2 ( 1 - a )}; a \neq = 1

Schritte zur Lösung

\frac{x}{a} - \frac{a}{x} = x - a

Multipliziere mit dem kleinsten gemeinsamen Multiplikator

x^{2} - a^{2} = a x^{2} - a^{2} x

Löse

x^{2} - a^{2} = a x^{2} - a^{2} x : x = \frac{- a ^{2} + a a ^{2} + 4 ( 1 - a )}{2 ( 1 - a )}, x = \frac{- a ^{2} - a a ^{2} + 4 ( 1 - a )}{2 ( 1 - a )}; a \neq = 1

x = \frac{- a ^{2} + a a ^{2} + 4 ( 1 - a )}{2 ( 1 - a )}, x = \frac{- a ^{2} - a a ^{2} + 4 ( 1 - a )}{2 ( 1 - a )}; a \neq = 1

\frac{17}{2} = \frac{34}{x}

\frac{1}{x + y} = 0

\frac{4 ( x ^{2} - 3 )}{x} = x + 2

\frac{3}{x - 3} = \frac{6}{x - 2}

\frac{2 x - 1}{x - 3} - 1 = 0