What is 9a^2=9b^2+4455 ?

The solution to 9a^2=9b^2+4455 is Hyperbola with (h,k)=(0,0),a=3sqrt(55),b=3sqrt(55)

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9a^2=9b^2+4455

9 a^{2} = 9 b^{2} + 4455

(h, k) = (0, 0), a = 355, b = 355

Solution steps

9 a^{2} = 9 b^{2} + 4455

Rewrite

9 a^{2} = 9 b^{2} + 4455

in the form of a standard hyperbola equation

\frac{( a - 0 ) ^{2}}{( 3 55 ) ^{2}} - \frac{( b - 0 ) ^{2}}{( 3 55 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 355, b = 355

4 x^{2} - y^{2} + 8 y - 32 = 0

4 x^{2} - 4 y^{2} - 32 x + 16 y + 39 = 0

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

p^{2} + 2021 = q^{2}

\frac{( y - 1 ) ^{2}}{4 ^{2}} - \frac{( x + 3 ) ^{2}}{5 ^{2}} = 1

What is 9a^2=9b^2+4455 ?
The solution to 9a^2=9b^2+4455 is Hyperbola with (h,k)=(0,0),a=3sqrt(55),b=3sqrt(55)