((m^6+(-2)))/(1+m)=0

Lösung

\frac{( m ^{6} + ( - 2 ) )}{1 + m} = 0

m = 32, m = - 32, m = \frac{1}{2 ^{\frac{5}{6}}} + \frac{3}{2 ^{\frac{5}{6}}} i, m = - \frac{1}{2 ^{\frac{5}{6}}} - \frac{3}{2 ^{\frac{5}{6}}} i, m = \frac{1}{2 ^{\frac{5}{6}}} - \frac{3}{2 ^{\frac{5}{6}}} i, m = - \frac{1}{2 ^{\frac{5}{6}}} + \frac{3}{2 ^{\frac{5}{6}}} i

Schritte zur Lösung

\frac{( m ^{6} + ( - 2 ) )}{1 + m} = 0

Vereinfache

\frac{m ^{6} + ( - 2 )}{1 + m} : \frac{m ^{6} - 2}{1 + m}

\frac{m ^{6} - 2}{1 + m} = 0

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

m^{6} - 2 = 0

Löse

m^{6} - 2 = 0 : m = 32, m = - 32, m = \frac{1}{2 ^{\frac{5}{6}}} + \frac{3}{2 ^{\frac{5}{6}}} i, m = - \frac{1}{2 ^{\frac{5}{6}}} - \frac{3}{2 ^{\frac{5}{6}}} i, m = \frac{1}{2 ^{\frac{5}{6}}} - \frac{3}{2 ^{\frac{5}{6}}} i, m = - \frac{1}{2 ^{\frac{5}{6}}} + \frac{3}{2 ^{\frac{5}{6}}} i

m = 32, m = - 32, m = \frac{1}{2 ^{\frac{5}{6}}} + \frac{3}{2 ^{\frac{5}{6}}} i, m = - \frac{1}{2 ^{\frac{5}{6}}} - \frac{3}{2 ^{\frac{5}{6}}} i, m = \frac{1}{2 ^{\frac{5}{6}}} - \frac{3}{2 ^{\frac{5}{6}}} i, m = - \frac{1}{2 ^{\frac{5}{6}}} + \frac{3}{2 ^{\frac{5}{6}}} i

Überprüfe die Lösungen

Bestimme unbestimmte (Singularitäts-)Punkte:

m = - 1

Kombine die undefinierten Punkte mit den Lösungen:

m = 32, m = - 32, m = \frac{1}{2 ^{\frac{5}{6}}} + \frac{3}{2 ^{\frac{5}{6}}} i, m = - \frac{1}{2 ^{\frac{5}{6}}} - \frac{3}{2 ^{\frac{5}{6}}} i, m = \frac{1}{2 ^{\frac{5}{6}}} - \frac{3}{2 ^{\frac{5}{6}}} i, m = - \frac{1}{2 ^{\frac{5}{6}}} + \frac{3}{2 ^{\frac{5}{6}}} i

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

\frac{1}{x} = \frac{8}{13}

so l v e f or x, x y^{2} = \frac{1}{x}

- \frac{6}{b} - 50 = - 49

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