What is the eccentricity (x^2)/4-(y^2)/6 =-1 ?

The eccentricity (x^2)/4-(y^2)/6 =-1 is sqrt(5/3)

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eccentricity (x^2)/4-(y^2)/6 =-1

eccentricity

\frac{x ^{2}}{4} - \frac{y ^{2}}{6} = - 1

\frac{5}{3}

Solution steps

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

Calculate Hyperbola properties

\frac{x ^{2}}{4} - \frac{y ^{2}}{6} = - 1 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 6, b = 2

= \frac{( 6 ) ^{2} + 2 ^{2}}{6}

Refine

= \frac{5}{3}

x^{2} + y^{2} - 2 x + 8 y - 47 = 0

\frac{( x ^{2} )}{73} - \frac{( y ^{2} )}{19} = 1

p (x) = 21 + 24 x + 6 x^{2}

y = - 6 x^{2} + 3 x + 2

h (x) = x^{2} - 14 x + 6

What is the eccentricity (x^2)/4-(y^2)/6 =-1 ?
The eccentricity (x^2)/4-(y^2)/6 =-1 is sqrt(5/3)