What is 25^2+36y^2+100x+72y-764=0 ?

The solution to 25^2+36y^2+100x+72y-764=0 is Parabola with (h,k)=(7/4 ,-1),p=-25/36

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25^2+36y^2+100x+72y-764=0

2 5^{2} + 36 y^{2} + 100 x + 72 y - 764 = 0

(h, k) = (\frac{7}{4}, - 1), p = - \frac{25}{36}

Solution steps

2 5^{2} + 36 y^{2} + 100 x + 72 y - 764 = 0

Rewrite

2 5^{2} + 36 y^{2} + 100 x + 72 y - 764 = 0

in the standard form

4 (- \frac{25}{36}) (x - \frac{7}{4}) = (y - (- 1))^{2}

Therefore parabola properties are:

(h, k) = (\frac{7}{4}, - 1), p = - \frac{25}{36}

\frac{1}{8} z^{2} - \frac{1}{4} y - 1 = 0

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

x = 9 - z^{2}

2 y^{2} - 16 x + 16 (y - 1) + 16 = - 2 y^{2}

(x - 2)^{2} + (y - 1) = 9

What is 25^2+36y^2+100x+72y-764=0 ?
The solution to 25^2+36y^2+100x+72y-764=0 is Parabola with (h,k)=(7/4 ,-1),p=-25/36