What is x^2-76x+50y-252=0 ?

The solution to x^2-76x+50y-252=0 is Parabola with (h,k)=(38, 848/25),p=-25/2

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x^2-76x+50y-252=0

x^{2} - 76 x + 50 y - 252 = 0

(h, k) = (38, \frac{848}{25}), p = - \frac{25}{2}

Solution steps

x^{2} - 76 x + 50 y - 252 = 0

Rewrite

x^{2} - 76 x + 50 y - 252 = 0

in the standard form

4 (- \frac{25}{2}) (y - \frac{848}{25}) = (x - 38)^{2}

Therefore parabola properties are:

(h, k) = (38, \frac{848}{25}), p = - \frac{25}{2}

y^{2} - 6 x + 12 = 0

(y - 4)^{2} = - 42 (x - 3)

4 u^{2} - 16 v = 16

x = - \frac{1}{3} y^{2} - 12 y + 15

5 x^{2} - 3 x + k (x) = 0

What is x^2-76x+50y-252=0 ?
The solution to x^2-76x+50y-252=0 is Parabola with (h,k)=(38, 848/25),p=-25/2