What is x^2-y^2=-45 ?

The solution to x^2-y^2=-45 is Hyperbola with (h,k)=(0,0),a=3sqrt(5),b=3sqrt(5)

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x^2-y^2=-45

x^{2} - y^{2} = - 45

(h, k) = (0, 0), a = 35, b = 35

Solution steps

x^{2} - y^{2} = - 45

Rewrite

x^{2} - y^{2} = - 45

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{( 3 5 ) ^{2}} - \frac{( x - 0 ) ^{2}}{( 3 5 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 35, b = 35

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

4 x^{2} - 9 y^{2} + 8 x + 72 y - 203 = 0

\frac{27 x ^{2}}{4} - 9 y^{2} - 54 x - 18 y + \frac{225}{4} = 0

9 y^{2} - 16 x^{2} - 90 y - 128 x - 175 = 0

x^{2} - 1 y^{2} = 88

What is x^2-y^2=-45 ?
The solution to x^2-y^2=-45 is Hyperbola with (h,k)=(0,0),a=3sqrt(5),b=3sqrt(5)