solvefor z,2q^2=z^2p^2(1-p^2)

Lösung

löse nach

z, 2 q^{2} = z^{2} \cdot p^{2} \cdot (1 - p^{2})

z = \frac{2 q}{p 1 - p ^{2}}, z = - \frac{2 q}{p 1 - p ^{2}}; p \neq = 0, p \neq = - 1, p \neq = 1

Schritte zur Lösung

2 q^{2} = z^{2} p^{2} (1 - p^{2})

Tausche die Seiten

z^{2} p^{2} (1 - p^{2}) = 2 q^{2}

Teile beide Seiten durch

p^{2} (1 - p^{2}); p \neq = 0, p \neq = - 1, p \neq = 1

z^{2} = \frac{2 q ^{2}}{p ^{2} ( 1 - p ^{2} )}; p \neq = 0, p \neq = - 1, p \neq = 1

Für

x^{2} = f (a)

sind die Lösungen

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

z = \frac{2 q ^{2}}{p ^{2} ( 1 - p ^{2} )}, z = - \frac{2 q ^{2}}{p ^{2} ( 1 - p ^{2} )}; p \neq = 0, p \neq = - 1, p \neq = 1

Vereinfache

\frac{2 q ^{2}}{p ^{2} ( 1 - p ^{2} )} : \frac{2 q}{p 1 - p ^{2}}

Vereinfache

- \frac{2 q ^{2}}{p ^{2} ( 1 - p ^{2} )} : - \frac{2 q}{p 1 - p ^{2}}

z = \frac{2 q}{p 1 - p ^{2}}, z = - \frac{2 q}{p 1 - p ^{2}}; p \neq = 0, p \neq = - 1, p \neq = 1

(\frac{( \frac{4}{3} ) a + 5}{3})^{2} = 100

so l v e f or x, (x - 3)^{2} + (y - 6)^{2} = 0

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

so l v e f or x, f (2 x - 1) = 4 x^{2} - 10 x + a

m^{2} + \frac{m}{2} - \frac{3}{2} = 0