What is 4x^2-25y^2-8x-100y-196=0 ?

The solution to 4x^2-25y^2-8x-100y-196=0 is Hyperbola with (h,k)=(1,-2),a=5,b=2

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4x^2-25y^2-8x-100y-196=0

4 x^{2} - 25 y^{2} - 8 x - 100 y - 196 = 0

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

Solution steps

4 x^{2} - 25 y^{2} - 8 x - 100 y - 196 = 0

Rewrite

4 x^{2} - 25 y^{2} - 8 x - 100 y - 196 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

- \frac{x ^{2}}{25} + \frac{y ^{2}}{144} = 1

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

9 x^{2} - 16 y^{2} - 18 x + 32 y - 151 = 0

\frac{( y + 3 ) ^{2}}{4} - \frac{( x - 2 ) ^{2}}{9} = 1

8 x^{2} - 5 y^{2} + 10 x + 4 = 0

What is 4x^2-25y^2-8x-100y-196=0 ?
The solution to 4x^2-25y^2-8x-100y-196=0 is Hyperbola with (h,k)=(1,-2),a=5,b=2