What is (a^2-4b^2-15)/pi =0 ?

The solution to (a^2-4b^2-15)/pi =0 is Hyperbola with (h,k)=(0,0),a=sqrt(15),b=(sqrt(15))/2

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(a^2-4b^2-15)/pi =0

\frac{a ^{2} - 4 b ^{2} - 15}{π} = 0

(h, k) = (0, 0), a = 15, b = \frac{15}{2}

Solution steps

\frac{a ^{2} - 4 b ^{2} - 15}{π} = 0

Rewrite

\frac{a ^{2} - 4 b ^{2} - 15}{π} = 0

in the form of a standard hyperbola equation

\frac{( a - 0 ) ^{2}}{( 15 ) ^{2}} - \frac{( b - 0 ) ^{2}}{( \frac{15}{2} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 15, b = \frac{15}{2}

x^{2} - 1 y^{2} = 13

- 9 x^{2} + 36 x + 4 y^{2} - 24 y = 63

3 x^{2} - 4 y^{2} + 3 - 6 x + 16 y - 18 = 0

\frac{y ^{2}}{625} - \frac{x ^{2}}{2500} = 1

x^{2} - y^{2} = - 16

What is (a^2-4b^2-15)/pi =0 ?
The solution to (a^2-4b^2-15)/pi =0 is Hyperbola with (h,k)=(0,0),a=sqrt(15),b=(sqrt(15))/2