What is 25y^2-300y-x^2+2x+799=0 ?

The solution to 25y^2-300y-x^2+2x+799=0 is Hyperbola with (h,k)=(1,6),a=2,b=10

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25y^2-300y-x^2+2x+799=0

25 y^{2} - 300 y - x^{2} + 2 x + 799 = 0

(h, k) = (1, 6), a = 2, b = 10

Solution steps

25 y^{2} - 300 y - x^{2} + 2 x + 799 = 0

Rewrite

25 y^{2} - 300 y - x^{2} + 2 x + 799 = 0

in the form of a standard hyperbola equation

\frac{( y - 6 ) ^{2}}{2 ^{2}} - \frac{( x - 1 ) ^{2}}{1 0 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (1, 6), a = 2, b = 10

\frac{x ^{2}}{36} - \frac{y ^{2}}{121} = 1

\frac{x ^{2} - y ^{2}}{11 x \cdot 2} = 4

4 (y - \frac{1}{2})^{2} - 16 (x + \frac{3}{2})^{2} = \frac{3}{2}

(2 x + 5)^{2} + (3 y - 2)^{2} = (3 x - 4)^{2} + (2 y + 1)^{2}

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

What is 25y^2-300y-x^2+2x+799=0 ?
The solution to 25y^2-300y-x^2+2x+799=0 is Hyperbola with (h,k)=(1,6),a=2,b=10