What is 2/5 y^2+5/3 x=1 ?

The solution to 2/5 y^2+5/3 x=1 is Parabola with (h,k)=(3/5 ,0),p=-25/24

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2/5 y^2+5/3 x=1

\frac{2}{5} y^{2} + \frac{5}{3} x = 1

(h, k) = (\frac{3}{5}, 0), p = - \frac{25}{24}

Solution steps

\frac{2}{5} y^{2} + \frac{5}{3} x = 1

Rewrite

\frac{2}{5} y^{2} + \frac{5}{3} x = 1

in the standard form:

4 (- \frac{25}{24}) (x - \frac{3}{5}) = (y - 0)^{2}

Therefore parabola properties are:

(h, k) = (\frac{3}{5}, 0), p = - \frac{25}{24}

(x - 3)^{2} = 4 (- 8) (y - 3)

x^{2} + 226 x - 660 y + 49 = 0

x = 3 (y - 3)^{2} - 6

(x + 1)^{2} = 5 (y - 2)

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

What is 2/5 y^2+5/3 x=1 ?
The solution to 2/5 y^2+5/3 x=1 is Parabola with (h,k)=(3/5 ,0),p=-25/24