What is x^2-16y-9x+83=0 ?

The solution to x^2-16y-9x+83=0 is Parabola with (h,k)=(9/2 , 251/64),p=4

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x^2-16y-9x+83=0

x^{2} - 16 y - 9 x + 83 = 0

(h, k) = (\frac{9}{2}, \frac{251}{64}), p = 4

Solution steps

x^{2} - 16 y - 9 x + 83 = 0

Rewrite

x^{2} - 16 y - 9 x + 83 = 0

in the standard form

4 \cdot 4 (y - \frac{251}{64}) = (x - \frac{9}{2})^{2}

Therefore parabola properties are:

(h, k) = (\frac{9}{2}, \frac{251}{64}), p = 4

4 x^{2} + 2 y = 0

y \geq (x - 1)^{2}

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

x^{2} + 6 x + 16 y + 121 = 0

2 5^{2} + 16 y^{2} - 200 x - 160 y + 400 = 0

What is x^2-16y-9x+83=0 ?
The solution to x^2-16y-9x+83=0 is Parabola with (h,k)=(9/2 , 251/64),p=4