What is 25x^2-36y^2-200x+360y-1400=0 ?

The solution to 25x^2-36y^2-200x+360y-1400=0 is Hyperbola with (h,k)=(4,5),a=6,b=5

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25x^2-36y^2-200x+360y-1400=0

25 x^{2} - 36 y^{2} - 200 x + 360 y - 1400 = 0

(h, k) = (4, 5), a = 6, b = 5

Solution steps

25 x^{2} - 36 y^{2} - 200 x + 360 y - 1400 = 0

Rewrite

25 x^{2} - 36 y^{2} - 200 x + 360 y - 1400 = 0

in the form of a standard hyperbola equation

\frac{( x - 4 ) ^{2}}{6 ^{2}} - \frac{( y - 5 ) ^{2}}{5 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (4, 5), a = 6, b = 5

25 y^{2} - 9 x^{2} + 18 x - 50 y = 241

\frac{y ^{2}}{4} - \frac{x ^{2}}{6} = 1

- 4 x^{2} + y^{2} + 10 y - 11 = 0

\frac{- x ^{2}}{16} + \frac{y ^{2}}{36} = 1

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

What is 25x^2-36y^2-200x+360y-1400=0 ?
The solution to 25x^2-36y^2-200x+360y-1400=0 is Hyperbola with (h,k)=(4,5),a=6,b=5