What is a^2-b^2=424 ?

The solution to a^2-b^2=424 is Hyperbola with (h,k)=(0,0),a=2sqrt(106),b=2sqrt(106)

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a^2-b^2=424

a^{2} - b^{2} = 424

(h, k) = (0, 0), a = 2106, b = 2106

Solution steps

a^{2} - b^{2} = 424

Rewrite

a^{2} - b^{2} = 424

in the form of a standard hyperbola equation

\frac{( a - 0 ) ^{2}}{( 2 106 ) ^{2}} - \frac{( b - 0 ) ^{2}}{( 2 106 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 2106, b = 2106

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

What is a^2-b^2=424 ?
The solution to a^2-b^2=424 is Hyperbola with (h,k)=(0,0),a=2sqrt(106),b=2sqrt(106)