X^2-10X-32Y+57=0

Lösung

X^{2} - 10 X - 32 Y + 57 = 0

(h, k) = (5, 1), p = 8

Schritte zur Lösung

X^{2} - 10 X - 32 Y + 57 = 0

Rewrite

X^{2} - 10 X - 32 Y + 57 = 0

in the standard form

4 \cdot 8 (Y - 1) = (X - 5)^{2}

Therefore parabola properties are:

(h, k) = (5, 1), p = 8

(x - 3)^{2} = - 14 (y - 2)

y = - 2 x^{2} - 20 x - 45

4 x^{2} + y = 12

9 x^{2} - 12 y = 0

\frac{2}{p} + \frac{1}{q} = \frac{p}{q}