What is the eccentricity x^2-y^2=14 ?

The eccentricity x^2-y^2=14 is square root of 2

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eccentricity x^2-y^2=14

eccentricity

x^{2} - y^{2} = 14

2

Solution steps

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

Calculate Hyperbola properties

x^{2} - y^{2} = 14 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 14, b = 14

= \frac{( 14 ) ^{2} + ( 14 ) ^{2}}{14}

Refine

= 2

x = 4 - y^{2}

y^{2} = x + 9

x^{2} + y^{2} - 2 x + 6 y - 15 = 0

y^{2} = - 12 x

(x + 92)^{2} + (y + 54)^{2} = 73

What is the eccentricity x^2-y^2=14 ?
The eccentricity x^2-y^2=14 is square root of 2