((sqrt(5)-5)/2)^2+y^2=5

Lösung

(\frac{5 - 5}{2})^{2} + y^{2} = 5

y = \frac{- 5 + 5 5}{2}, y = - \frac{- 5 + 5 5}{2}

Dezimale

y = 1.75788 \dots, y = - 1.75788 \dots

Schritte zur Lösung

(\frac{5 - 5}{2})^{2} + y^{2} = 5

Verschiebe

(\frac{5 - 5}{2})^{2}

auf die rechte Seite

y^{2} = 5 - \frac{( 5 - 5 ) ^{2}}{4}

\frac{( 5 - 5 ) ^{2}}{4} = \frac{5 ( 3 - 5 )}{2}

y^{2} = 5 - \frac{5 ( 3 - 5 )}{2}

Für

x^{2} = f (a)

sind die Lösungen

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

y = 5 - \frac{5 ( 3 - 5 )}{2}, y = - 5 - \frac{5 ( 3 - 5 )}{2}

5 - \frac{5 ( 3 - 5 )}{2} = \frac{- 5 + 5 5}{2}

- 5 - \frac{5 ( 3 - 5 )}{2} = - \frac{- 5 + 5 5}{2}

y = \frac{- 5 + 5 5}{2}, y = - \frac{- 5 + 5 5}{2}

a^{2} x^{2} - 2 b^{2} = - ab x

(x + 2)^{2} - (2 x - 3)^{2} = - 80

\frac{1 5 ^{2}}{4 0 ^{2}} + \frac{y ^{2}}{3 0 ^{2}} = 1

8 x^{2} - x = 0

- 2 x^{2} = 18