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

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

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7x^2-9y^2=63

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

x^{2} - y^{2} - x + y - (- 10) = 0

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

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

y (y + 2) = x^{2}

x^{2} + 1 x + y^{2} - 2 y^{2} = 25

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