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Show that the equation 5x^(2) + 9y ^(2) ...

Show that the equation `5x^(2) + 9y ^(2) - 10 x + 90 y + 185 = 0 `
represents an ellipse and find the equations of the directrices of this ellipse .

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The correct Answer is:
The equations of its directrices are `x - alpha =pm (a) /(e) or x - 1 = pm (3) /(2/(3)) = pm (9)/(2) or x = 1 pm (9)/(2)`
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