What is 1/(x-y)+1/(x+y)=5 ?

The solution to 1/(x-y)+1/(x+y)=5 is Hyperbola with (h,k)=(1/5 ,0),a= 1/5 ,b= 1/5

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1/(x-y)+1/(x+y)=5

\frac{1}{x - y} + \frac{1}{x + y} = 5

(h, k) = (\frac{1}{5}, 0), a = \frac{1}{5}, b = \frac{1}{5}

Solution steps

\frac{1}{x - y} + \frac{1}{x + y} = 5

Rewrite

\frac{1}{x - y} + \frac{1}{x + y} = 5

in the form of a standard hyperbola equation

\frac{( x - \frac{1}{5} ) ^{2}}{( \frac{1}{5} ) ^{2}} - \frac{( y - 0 ) ^{2}}{( \frac{1}{5} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (\frac{1}{5}, 0), a = \frac{1}{5}, b = \frac{1}{5}

\frac{( x - 8 ) ^{2}}{64} - \frac{( y - 9 ) ^{2}}{4} = 1

a^{2} - b^{2} = 4

9 x^{2} - 25 y^{2} = 1

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

9 x^{2} - 4 y^{2} - 54 x + 17 y - 20 = 0

What is 1/(x-y)+1/(x+y)=5 ?
The solution to 1/(x-y)+1/(x+y)=5 is Hyperbola with (h,k)=(1/5 ,0),a= 1/5 ,b= 1/5