What is 5x^2-4y^2-20x-8y=4 ?

The solution to 5x^2-4y^2-20x-8y=4 is Hyperbola with (h,k)=(2,-1),a=2,b=sqrt(5)

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5x^2-4y^2-20x-8y=4

5 x^{2} - 4 y^{2} - 20 x - 8 y = 4

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

Solution steps

5 x^{2} - 4 y^{2} - 20 x - 8 y = 4

Rewrite

5 x^{2} - 4 y^{2} - 20 x - 8 y = 4

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

\frac{x ^{2}}{100} - \frac{y ^{2}}{64} = 1

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

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

- 9 x^{2} + 16 y^{2} - 36 x - 160 y + 220 = 0

9 y^{2} - 16 x^{2} - 54 y - 32 x - 79 = 0

What is 5x^2-4y^2-20x-8y=4 ?
The solution to 5x^2-4y^2-20x-8y=4 is Hyperbola with (h,k)=(2,-1),a=2,b=sqrt(5)