k=m^2v^3

Lösung

k = m^{2} v^{3}

v = 3 \frac{k}{m ^{2}}, v = - \frac{3 \frac{k}{m ^{2}}}{2} + \frac{3 \frac{k}{m ^{2}} 3}{2} i, v = - \frac{3 \frac{k}{m ^{2}}}{2} - \frac{3 \frac{k}{m ^{2}} 3}{2} i; m \neq = 0

Schritte zur Lösung

k = m^{2} v^{3}

Tausche die Seiten

m^{2} v^{3} = k

Teile beide Seiten durch

m^{2}; m \neq = 0

v^{3} = \frac{k}{m ^{2}}; m \neq = 0

Für

x^{3} = f (a)

sind die Lösungen

x = 3 f (a), 3 f (a) \frac{- 1 - 3 i}{2}, 3 f (a) \frac{- 1 + 3 i}{2}

v = 3 \frac{k}{m ^{2}}, v = 3 \frac{k}{m ^{2}} \frac{- 1 + 3 i}{2}, v = 3 \frac{k}{m ^{2}} \frac{- 1 - 3 i}{2}; m \neq = 0

Vereinfache

3 \frac{k}{m ^{2}} \frac{- 1 + 3 i}{2} : - \frac{3 \frac{k}{m ^{2}}}{2} + \frac{3 \frac{k}{m ^{2}} 3}{2} i

Vereinfache

3 \frac{k}{m ^{2}} \frac{- 1 - 3 i}{2} : - \frac{3 \frac{k}{m ^{2}}}{2} - \frac{3 \frac{k}{m ^{2}} 3}{2} i

v = 3 \frac{k}{m ^{2}}, v = - \frac{3 \frac{k}{m ^{2}}}{2} + \frac{3 \frac{k}{m ^{2}} 3}{2} i, v = - \frac{3 \frac{k}{m ^{2}}}{2} - \frac{3 \frac{k}{m ^{2}} 3}{2} i; m \neq = 0

2 x^{4} + 5 x^{3} + 2 x^{2} - 45 x = 0

6 x^{4} - 29 x^{3} + 30 x^{2} = 6 - 11 x

z^{5} + 1 = 0

2 x^{3} - 5 x^{2} + 6 x - 2 = 0

16 x^{6} - 24 x^{4} + 9 x^{2} - 1 = 0