13^2=12^2*x^2

Lösung

1 3^{2} = 1 2^{2} \cdot x^{2}

x = \frac{13}{12}, x = - \frac{13}{12}

Dezimale

x = 1.08333 \dots, x = - 1.08333 \dots

Schritte zur Lösung

1 3^{2} = 1 2^{2} x^{2}

Tausche die Seiten

1 2^{2} x^{2} = 1 3^{2}

1 3^{2} = 169

1 2^{2} x^{2} = 169

Teile beide Seiten durch

144

x^{2} = \frac{169}{144}

Für

x^{2} = f (a)

sind die Lösungen

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

x = \frac{169}{144}, x = - \frac{169}{144}

\frac{169}{144} = \frac{13}{12}

- \frac{169}{144} = - \frac{13}{12}

x = \frac{13}{12}, x = - \frac{13}{12}

4 x^{2} - 441 = 0

x^{2} = 4 - 2 x

(3 y - 2)^{2} = - 27

x^{2} + 16 x + 19 = 4

x (x + 13) = 30