What is x^2-5y^2-2x+20y=44 ?

The solution to x^2-5y^2-2x+20y=44 is Hyperbola with (h,k)=(1,2),a=5,b=sqrt(5)

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x^2-5y^2-2x+20y=44

x^{2} - 5 y^{2} - 2 x + 20 y = 44

(h, k) = (1, 2), a = 5, b = 5

Solution steps

x^{2} - 5 y^{2} - 2 x + 20 y = 44

Rewrite

x^{2} - 5 y^{2} - 2 x + 20 y = 44

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (1, 2), a = 5, b = 5

2 x^{2} - 4 y^{2} - 4 x - 8 y = 6

\frac{( x + 1 ) ^{2}}{4} - \frac{( y - 2 ) ^{2}}{12} = 1

4 x^{2} - 45 y^{2} = 180

- \frac{x ^{2}}{5} + \frac{y ^{2}}{7} = 1

x^{2} - y^{2} + 2 x + 4 y - 12 = 0

What is x^2-5y^2-2x+20y=44 ?
The solution to x^2-5y^2-2x+20y=44 is Hyperbola with (h,k)=(1,2),a=5,b=sqrt(5)