What is a^2-b^2=3000 ?

The solution to a^2-b^2=3000 is Hyperbola with (h,k)=(0,0),a=10sqrt(30),b=10sqrt(30)

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a^2-b^2=3000

a^{2} - b^{2} = 3000

(h, k) = (0, 0), a = 1030, b = 1030

Solution steps

a^{2} - b^{2} = 3000

Rewrite

a^{2} - b^{2} = 3000

in the form of a standard hyperbola equation

\frac{( a - 0 ) ^{2}}{( 10 30 ) ^{2}} - \frac{( b - 0 ) ^{2}}{( 10 30 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 1030, b = 1030

625 y^{2} - 400 x^{2} = 250000

49 x^{2} - 25 y^{2} - 686 x - 50 y - 2375 = 0

49 x^{2} - 25 y^{2} - 686 x - 50 y - 2375 = 1

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

a^{2} - b^{2} = 997

What is a^2-b^2=3000 ?
The solution to a^2-b^2=3000 is Hyperbola with (h,k)=(0,0),a=10sqrt(30),b=10sqrt(30)