What is y 1/x = 1/y+2/(xy) ?

The solution to y 1/x = 1/y+2/(xy) is Parabola with (h,k)=(-2,0),p= 1/4

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y 1/x = 1/y+2/(xy)

y \frac{1}{x} = \frac{1}{y} + \frac{2}{x y}

(h, k) = (- 2, 0), p = \frac{1}{4}

Solution steps

y \frac{1}{x} = \frac{1}{y} + \frac{2}{x y}

Rewrite

y \frac{1}{x} - \frac{1}{y} - \frac{2}{x y} = 0

in the standard form

4 \cdot \frac{1}{4} (x - (- 2)) = (y - 0)^{2}

Therefore parabola properties are:

(h, k) = (- 2, 0), p = \frac{1}{4}

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

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

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

x, x = 5 - 12.5 (t (x) + 2) + \frac{10.4 ( t ( x ) + 2 ) ^{2}}{2}

x^{2} - 10 x - 63 y = - 25 - 63

What is y 1/x = 1/y+2/(xy) ?
The solution to y 1/x = 1/y+2/(xy) is Parabola with (h,k)=(-2,0),p= 1/4