## Hyperbola

What is the eccentricity of the conic section represented by the below equation?

##
__
__**Hint**

**Hint**

The equation for a hyperbola has the below format:

$$$\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1$$$

##
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__**Hint 2**

**Hint 2**

Eccentricity:

$$$e=\sqrt{1+(b^2/a^2)}$$$

A conic section is a curve obtained from the intersection of a cone’s surface and a flat plane. The eccentricity,
$$e$$
, of a conic section indicates how close its shape is a circle. As eccentricity grows larger, the less the shape resembles a circle. The problem’s equation is a hyperbola because it has the below format:

$$$\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1$$$

Note the similarities to an ellipse equation, except the two components are being subtracted instead of added. The eccentricity,
$$e$$
, of a conic section indicates how close its shape is a circle. To solve for eccentricity:

$$$e=\sqrt{1+(b^2/a^2)}$$$

Thus,

$$$e=\sqrt{1+(64/49)}=\sqrt{1+1.306}=\sqrt{2.306}=1.52$$$

1.52