x^2-10x-8y-23=0

Lösung

x^{2} - 10 x - 8 y - 23 = 0

(h, k) = (5, - 6), p = 2

Schritte zur Lösung

x^{2} - 10 x - 8 y - 23 = 0

Rewrite

x^{2} - 10 x - 8 y - 23 = 0

in the standard form

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

Therefore parabola properties are:

(h, k) = (5, - 6), p = 2

2 x^{2} - 5 x + 2 k (x) - 2 = 0

x - y = 5 (x + 1)^{2} - 3

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

x - 8 y^{2} = 0

x = \frac{y ^{2}}{7}