3a^2x^2=24b^4c^8

Lösung

3 a^{2} x^{2} = 24 b^{4} c^{8}

x = \frac{2 2 b ^{2} c ^{4}}{a}, x = - \frac{2 2 b ^{2} c ^{4}}{a}; a \neq = 0

Schritte zur Lösung

3 a^{2} x^{2} = 24 b^{4} c^{8}

Teile beide Seiten durch

3 a^{2}; a \neq = 0

x^{2} = \frac{8 b ^{4} c ^{8}}{a ^{2}}; a \neq = 0

Für

x^{2} = f (a)

sind die Lösungen

x = f (a), - f (a)

x = \frac{8 b ^{4} c ^{8}}{a ^{2}}, x = - \frac{8 b ^{4} c ^{8}}{a ^{2}}; a \neq = 0

Vereinfache

\frac{8 b ^{4} c ^{8}}{a ^{2}} : \frac{2 2 b ^{2} c ^{4}}{a}

Vereinfache

- \frac{8 b ^{4} c ^{8}}{a ^{2}} : - \frac{2 2 b ^{2} c ^{4}}{a}

x = \frac{2 2 b ^{2} c ^{4}}{a}, x = - \frac{2 2 b ^{2} c ^{4}}{a}; a \neq = 0

f a c t or 2 x^{2} - 8 x + 8 = 0

3 (x^{2} - 1) + 2 (x - 5) - 20 = 0

x = x^{2} + x - 3

x^{2} + 5 x - 19 = 0

5 x - 4 x^{2} - 1 = 0