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

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

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36x^2-25y^2=900

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

2 x 6 x - y 4 y = 6 - 10

3 x^{2} - y^{2} + 6 x = 0

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

9 x^{2} - 4 y^{2} + 18 x - 16 y - 43 = 0

8 x^{2} - 5 y^{2} + 96 x + 40 y + 168 = 0

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