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

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

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-36x^2+25y^2=900

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

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

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

Therefore Hyperbola properties are:

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

\frac{y ^{2}}{12} - \frac{x ^{2}}{4} = 1

\frac{16 y ^{2}}{1} - \frac{25 x ^{2}}{1} = 1

- 9 x^{2} + 25 y^{2} - 72 x - 144 - 100 y = 0

\frac{( y - 5 ) ^{2}}{25} - (x - 2)^{2} = 1

\frac{( x + 1 ) ^{2}}{9} - \frac{( y + 2 ) ^{2}}{4} = 1

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