x^2-12x-12y+96=0

Lösung

x^{2} - 12 x - 12 y + 96 = 0

(h, k) = (6, 5), p = 3

Schritte zur Lösung

x^{2} - 12 x - 12 y + 96 = 0

Rewrite

x^{2} - 12 x - 12 y + 96 = 0

in the standard form

4 \cdot 3 (y - 5) = (x - 6)^{2}

Therefore parabola properties are:

(h, k) = (6, 5), p = 3

9 - 3 x = 7 y^{2} + 5 x

x = 5 (y - 1)^{2}

x = 4 y^{2} + 8 y + 2

y^{2} = 40 x

49 y^{2} - 392 x + 28 y + 732 = 0