What is 25x^2-36y^2=900 ?

The solution to 25x^2-36y^2=900 is Hyperbola with (h,k)=(0,0),a=6,b=5

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25x^2-36y^2=900

25 x^{2} - 36 y^{2} = 900

(h, k) = (0, 0), a = 6, b = 5

Solution steps

25 x^{2} - 36 y^{2} = 900

Rewrite

25 x^{2} - 36 y^{2} = 900

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{6 ^{2}} - \frac{( y - 0 ) ^{2}}{5 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 6, b = 5

x^{2} - y^{2} + 2 x + 2 y - 16 = 0

x^{2} - y^{2} - 10 x - 10 y - 1 = 0

x^{2} - x - y - 1 = y^{2} - y - x - 3

9 x^{2} = 4 y^{2} - 12

9 y^{2} - 16 x^{2} - 36 y + 32 x - 124 = 0

What is 25x^2-36y^2=900 ?
The solution to 25x^2-36y^2=900 is Hyperbola with (h,k)=(0,0),a=6,b=5