What is 25x^2-100x-9y^2+18y+316=0 ?

The solution to 25x^2-100x-9y^2+18y+316=0 is Hyperbola with (h,k)=(2,1),a=5,b=3

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25x^2-100x-9y^2+18y+316=0

25 x^{2} - 100 x - 9 y^{2} + 18 y + 316 = 0

(h, k) = (2, 1), a = 5, b = 3

Solution steps

25 x^{2} - 100 x - 9 y^{2} + 18 y + 316 = 0

Rewrite

25 x^{2} - 100 x - 9 y^{2} + 18 y + 316 = 0

in the form of a standard hyperbola equation

\frac{( y - 1 ) ^{2}}{5 ^{2}} - \frac{( x - 2 ) ^{2}}{3 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (2, 1), a = 5, b = 3

\frac{y ^{2}}{1} - \frac{x ^{2}}{16} = 1

x^{2} - 8 x - y^{2} - 10 y - 36 = 0

x^{2} - 2 y^{2} + 3 x + 4 y = 2

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

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

What is 25x^2-100x-9y^2+18y+316=0 ?
The solution to 25x^2-100x-9y^2+18y+316=0 is Hyperbola with (h,k)=(2,1),a=5,b=3