What is x^2+76x+100y+100=0 ?

The solution to x^2+76x+100y+100=0 is Parabola with (h,k)=(-38, 336/25),p=-25

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x^2+76x+100y+100=0

x^{2} + 76 x + 100 y + 100 = 0

(h, k) = (- 38, \frac{336}{25}), p = - 25

Solution steps

x^{2} + 76 x + 100 y + 100 = 0

Rewrite

x^{2} + 76 x + 100 y + 100 = 0

in the standard form

4 (- 25) (y - \frac{336}{25}) = (x - (- 38))^{2}

Therefore parabola properties are:

(h, k) = (- 38, \frac{336}{25}), p = - 25

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

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

x + y^{2} = - 1

x + y^{2} = - 3

0 = - y - x^{2} + 4 x + 5

What is x^2+76x+100y+100=0 ?
The solution to x^2+76x+100y+100=0 is Parabola with (h,k)=(-38, 336/25),p=-25