What is 9y^2-7x^2=63 ?

The solution to 9y^2-7x^2=63 is Hyperbola with (h,k)=(0,0),a=sqrt(7),b=3

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9y^2-7x^2=63

9 y^{2} - 7 x^{2} = 63

(h, k) = (0, 0), a = 7, b = 3

Solution steps

9 y^{2} - 7 x^{2} = 63

Rewrite

9 y^{2} - 7 x^{2} = 63

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{( 7 ) ^{2}} - \frac{( x - 0 ) ^{2}}{3 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 7, b = 3

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

16 x^{2} - 128 x - 9 y^{2} + 36 y + 76 = 0

\frac{x ^{2}}{9} - \frac{y ^{2}}{8} = 1

x^{2} - y^{2} - 5 x - 20 y + 25 = 0

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

What is 9y^2-7x^2=63 ?
The solution to 9y^2-7x^2=63 is Hyperbola with (h,k)=(0,0),a=sqrt(7),b=3