What is x^2-y^2=121 ?

The solution to x^2-y^2=121 is Hyperbola with (h,k)=(0,0),a=11,b=11

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x^2-y^2=121

x^{2} - y^{2} = 121

(h, k) = (0, 0), a = 11, b = 11

Solution steps

x^{2} - y^{2} = 121

Rewrite

x^{2} - y^{2} = 121

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 11, b = 11

5 y^{2} + 24 y + 16 - 4 x^{2} = 0

- 12 x^{2} + 9 y^{2} + 24 x - 6 y + 9 = 0

\frac{y ^{2}}{4} - \frac{x ^{2}}{16} = 1

- \frac{( x - 3 ) ^{2}}{25} + \frac{( y - 4 ) ^{2}}{36} = 1

137 + 6 y = y^{2} - 24 x - x^{2}

What is x^2-y^2=121 ?
The solution to x^2-y^2=121 is Hyperbola with (h,k)=(0,0),a=11,b=11