(3-h)^2+(5-k)^2=r^2

Lösung

(3 - h)^{2} + (5 - k)^{2} = r^{2}

r = h^{2} - 6 h + k^{2} + 34 - 10 k, r = - h^{2} - 6 h + k^{2} + 34 - 10 k

Schritte zur Lösung

(3 - h)^{2} + (5 - k)^{2} = r^{2}

Tausche die Seiten

r^{2} = (3 - h)^{2} + (5 - k)^{2}

Vereinfache

(3 - h)^{2} + (5 - k)^{2} : h^{2} - 6 h + k^{2} + 34 - 10 k

Für

x^{2} = f (a)

sind die Lösungen

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

r = h^{2} - 6 h + k^{2} + 34 - 10 k, r = - h^{2} - 6 h + k^{2} + 34 - 10 k

5 a^{2} + 21 = 49

x - 1 = x^{2} - 4 x + 3

0 = - x^{2} + 10 x - 8

55 - 24 b + 2 b^{2} = 1

15 x^{2} + 6 x = 0