What is x^{(2)}-6x+5y=-34 ?

The solution to x^{(2)}-6x+5y=-34 is Parabola with (h,k)=(3,-5),p=-5/4

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x^{(2)}-6x+5y=-34

x^{(2)} - 6 x + 5 y = - 34

(h, k) = (3, - 5), p = - \frac{5}{4}

Solution steps

x^{2} - 6 x + 5 y = - 34

Rewrite

x^{2} - 6 x + 5 y = - 34

in the standard form

4 (- \frac{5}{4}) (y - (- 5)) = (x - 3)^{2}

Therefore parabola properties are:

(h, k) = (3, - 5), p = - \frac{5}{4}

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

(x - 6)^{2} = - 4 y

y^{2} - 6 y - 7 x - 54 = 0

x^{2} + 2 x - 4 y + 9 = 0

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

What is x^{(2)}-6x+5y=-34 ?
The solution to x^{(2)}-6x+5y=-34 is Parabola with (h,k)=(3,-5),p=-5/4