What is a^2-b^2=415 ?

The solution to a^2-b^2=415 is Hyperbola with (h,k)=(0,0),a=sqrt(415),b=sqrt(415)

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a^2-b^2=415

a^{2} - b^{2} = 415

(h, k) = (0, 0), a = 415, b = 415

Solution steps

a^{2} - b^{2} = 415

Rewrite

a^{2} - b^{2} = 415

in the form of a standard hyperbola equation

\frac{( a - 0 ) ^{2}}{( 415 ) ^{2}} - \frac{( b - 0 ) ^{2}}{( 415 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 415, b = 415

4 y^{2} - 24 y - 2 x^{2} + 20 = 2

9 (x^{2} - 2 x) - 4 (y^{2} + 4 y) = - 29

\frac{( y - 9 ) ^{2}}{45} - \frac{( x + 3 ) ^{2}}{\frac{45}{2}} = 1

y^{(2)} - x^{(2)} = 100

4 x^{2} - 9 y^{2} - 36 y = 72

What is a^2-b^2=415 ?
The solution to a^2-b^2=415 is Hyperbola with (h,k)=(0,0),a=sqrt(415),b=sqrt(415)