What is 11^2-x^2+y^2=9^2 ?

The solution to 11^2-x^2+y^2=9^2 is Hyperbola with (h,k)=(0,0),a=2sqrt(10),b=2sqrt(10)

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11^2-x^2+y^2=9^2

1 1^{2} - x^{2} + y^{2} = 9^{2}

(h, k) = (0, 0), a = 210, b = 210

Solution steps

1 1^{2} - x^{2} + y^{2} = 9^{2}

Rewrite

1 1^{2} - x^{2} + y^{2} = 9^{2}

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( 2 10 ) ^{2}} - \frac{( y - 0 ) ^{2}}{( 2 10 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 210, b = 210

9 (x - 3)^{2} - 4 (y - 1)^{2} = - 36

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

x, h (x)^{2} = 13 x^{2} - 6 x + 1

\frac{8 ( x ^{2} - \frac{1}{4} )}{\frac{9}{2}} - 9 y^{2} \frac{9}{2} = \frac{\frac{9}{2}}{\frac{9}{2}}

9 x^{2} - y^{2} = 144

What is 11^2-x^2+y^2=9^2 ?
The solution to 11^2-x^2+y^2=9^2 is Hyperbola with (h,k)=(0,0),a=2sqrt(10),b=2sqrt(10)