What is x^2-y^2=10(x-y)+1 ?

The solution to x^2-y^2=10(x-y)+1 is Hyperbola with (h,k)=(5,5),a=1,b=1

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x^2-y^2=10(x-y)+1

x^{2} - y^{2} = 10 (x - y) + 1

(h, k) = (5, 5), a = 1, b = 1

Solution steps

x^{2} - y^{2} = 10 (x - y) + 1

Rewrite

x^{2} - y^{2} - 10 (x - y) - 1 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (5, 5), a = 1, b = 1

\frac{x ^{2}}{25} + \frac{y ^{2}}{16} = 1

F = \frac{m v ^{2}}{r}

(x - 0)^{2} + (y - 20)^{2} = 400

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

9 x^{2} + 16 y^{2} = 144

What is x^2-y^2=10(x-y)+1 ?
The solution to x^2-y^2=10(x-y)+1 is Hyperbola with (h,k)=(5,5),a=1,b=1