What is the eccentricity-1=x^2-y^2 ?

The eccentricity-1=x^2-y^2 is square root of 2

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eccentricity-1=x^2-y^2

eccentricity

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

2

Solution steps

= \frac{a ^{2} + b ^{2}}{a}

Calculate Hyperbola properties

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

Up-down Hyperbola with

(h, k) = (0, 0), a = 1, b = 1

= \frac{1 ^{2} + 1 ^{2}}{1}

Refine

= 2

\frac{x ^{2}}{9} - \frac{( y - 2 ) ^{2}}{4} = 1

\frac{x ^{2}}{9} - \frac{y ^{2}}{16} = 1

- 9 x^{2} + y^{2} - 72 x - 153 = 0

4 x^{2} - y^{2} = 16

16 x^{2} - 96 x - y^{2} - 2 y + 139 = 0

What is the eccentricity-1=x^2-y^2 ?
The eccentricity-1=x^2-y^2 is square root of 2