What is 16x^2-9y^2+576=0 ?

The solution to 16x^2-9y^2+576=0 is Hyperbola with (h,k)=(0,0),a=8,b=6

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16x^2-9y^2+576=0

16 x^{2} - 9 y^{2} + 576 = 0

(h, k) = (0, 0), a = 8, b = 6

Solution steps

16 x^{2} - 9 y^{2} + 576 = 0

Rewrite

16 x^{2} - 9 y^{2} + 576 = 0

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{8 ^{2}} - \frac{( x - 0 ) ^{2}}{6 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 8, b = 6

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

x^{2} - y^{2} - 100 = 0

y^{2} = 5 x^{2} - 7 x + 2

\frac{( x - 2 ) ^{2}}{1} - \frac{( y + 3 ) ^{2}}{9} = 1

\frac{( x - 3 ) ^{2}}{49} - \frac{( y + 2 ) ^{2}}{16} = 1

What is 16x^2-9y^2+576=0 ?
The solution to 16x^2-9y^2+576=0 is Hyperbola with (h,k)=(0,0),a=8,b=6