What is (m(x))/x-1/(m(x))= 2/(m(x)) ?

The solution to (m(x))/x-1/(m(x))= 2/(m(x)) is Parabola with (h,k)=(0,0),p= 3/4

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(m(x))/x-1/(m(x))= 2/(m(x))

\frac{m ( x )}{x} - \frac{1}{m ( x )} = \frac{2}{m ( x )}

(h, k) = (0, 0), p = \frac{3}{4}

Solution steps

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

Rewrite

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

in the standard form

4 \cdot \frac{3}{4} (x - 0) = (y - 0)^{2}

Therefore parabola properties are:

(h, k) = (0, 0), p = \frac{3}{4}

y^{2} - 4 x + 6 y + 17 = 0

x^{2} - 6 x - 8 y + 25 = 0

2 x^{2} - 8 x - 6 y + 10 = 0

(y + \frac{5}{2})^{2} = - 5 (x - \frac{9}{2})

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

What is (m(x))/x-1/(m(x))= 2/(m(x)) ?
The solution to (m(x))/x-1/(m(x))= 2/(m(x)) is Parabola with (h,k)=(0,0),p= 3/4