What is a^2-b^2=2017 ?

The solution to a^2-b^2=2017 is Hyperbola with (h,k)=(0,0),a=sqrt(2017),b=sqrt(2017)

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a^2-b^2=2017

a^{2} - b^{2} = 2017

(h, k) = (0, 0), a = 2017, b = 2017

Solution steps

a^{2} - b^{2} = 2017

Rewrite

a^{2} - b^{2} = 2017

in the form of a standard hyperbola equation

\frac{( a - 0 ) ^{2}}{( 2017 ) ^{2}} - \frac{( b - 0 ) ^{2}}{( 2017 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 2017, b = 2017

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

1 = aa - bb

25 x^{2} - 36 y^{2} - 150 x - 288 y - 1251 = 0

x^{2} + y^{2} + 5 x + y - 26 = 0.2 x^{2} + 2 y^{2} - 4 x + 9 y + 4

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

What is a^2-b^2=2017 ?
The solution to a^2-b^2=2017 is Hyperbola with (h,k)=(0,0),a=sqrt(2017),b=sqrt(2017)