What is (17)/(x+y) 5/(x-y)=5 ?

The solution to (17)/(x+y) 5/(x-y)=5 is Hyperbola with (h,k)=(0,0),a=sqrt(17),b=sqrt(17)

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(17)/(x+y) 5/(x-y)=5

\frac{17}{x + y} \frac{5}{x - y} = 5

(h, k) = (0, 0), a = 17, b = 17

Solution steps

\frac{17}{x + y} \cdot \frac{5}{x - y} = 5

Rewrite

\frac{17}{x + y} \frac{5}{x - y} = 5

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( 17 ) ^{2}} - \frac{( y - 0 ) ^{2}}{( 17 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 17, b = 17

\frac{( y - 3 ) ^{2}}{81} - \frac{( x + 5 ) ^{2}}{144} = 1

(\frac{y ^{2}}{4}) - (\frac{x ^{2}}{16}) = 1

\frac{( x - 3 ) ^{2}}{16} - \frac{y ^{2}}{4} = 1

\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{a - 16} = 1

5 y^{2} - 6 x - 3 x^{2} - 10 y - 13 = 0

What is (17)/(x+y) 5/(x-y)=5 ?
The solution to (17)/(x+y) 5/(x-y)=5 is Hyperbola with (h,k)=(0,0),a=sqrt(17),b=sqrt(17)