solvefor y,7x^2-x/y+(81)/x =26+5y

Lösung

löse nach

y, 7 x^{2} - \frac{x}{y} + \frac{81}{x} = 26 + 5 y

y = \frac{- 26 x + 7 x ^{3} + 81 + 49 x ^{6} - 364 x ^{4} + 1114 x ^{3} + 676 x ^{2} - 4212 x + 6561}{10 x}, y = \frac{- 26 x + 7 x ^{3} + 81 - 49 x ^{6} - 364 x ^{4} + 1114 x ^{3} + 676 x ^{2} - 4212 x + 6561}{10 x}; x \neq = 0

Schritte zur Lösung

7 x^{2} - \frac{x}{y} + \frac{81}{x} = 26 + 5 y

Multipliziere mit dem kleinsten gemeinsamen Multiplikator

- x^{2} + 81 y = 26 y x + 5 y^{2} x - 7 y x^{3}

Löse

- x^{2} + 81 y = 26 y x + 5 y^{2} x - 7 y x^{3} : y = \frac{- 26 x + 7 x ^{3} + 81 + 49 x ^{6} - 364 x ^{4} + 1114 x ^{3} + 676 x ^{2} - 4212 x + 6561}{10 x}, y = \frac{- 26 x + 7 x ^{3} + 81 - 49 x ^{6} - 364 x ^{4} + 1114 x ^{3} + 676 x ^{2} - 4212 x + 6561}{10 x}; x \neq = 0

y = \frac{- 26 x + 7 x ^{3} + 81 + 49 x ^{6} - 364 x ^{4} + 1114 x ^{3} + 676 x ^{2} - 4212 x + 6561}{10 x}, y = \frac{- 26 x + 7 x ^{3} + 81 - 49 x ^{6} - 364 x ^{4} + 1114 x ^{3} + 676 x ^{2} - 4212 x + 6561}{10 x}; x \neq = 0

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

x + \frac{2}{x} - 2 + \frac{x ^{2}}{4} - x^{2} = - \frac{6}{x} + 2

so l v e f or c, \frac{( c ^{2} + d ^{2} )}{( c ^{2} )} = \frac{5}{1}

- \frac{\frac{2}{3}}{( \frac{1}{2} \cdot x + 25 )} - \frac{31}{2} = \frac{3}{4}

so l v e f or a, 4 \frac{a}{b} + \frac{b}{a} = 4