What is the foci x^2-10x-20y=-185 ?

The foci x^2-10x-20y=-185 is (5,13)

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foci x^2-10x-20y=-185

foci

x^{2} - 10 x - 20 y = - 185

(5, 13)

Solution steps

Rewrite

x^{2} - 10 x - 20 y = - 185

in the standard form

4 \cdot 5 (y - 8) = (x - 5)^{2}

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

Parabola is symmetric around the y-axis and so the focus lies a distance

p

from the center

(5, 8)

along the y-axis

(5, 8 + p)

= (5, 8 + 5)

Refine

(5, 13)

x = - y^{2}

x^{2} - 4 x + 8 y - 4 = 0

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

- 2 x^{2} + 4 x + 7

- 2 x^{2} + 4 x - 7