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The hyperbola (x^(2))/(a^(2)) - (y^(2))/...

The hyperbola `(x^(2))/(a^(2)) - (y^(2))/(b^(2)) = 1 `passes throught the point of intersection of the lines x - `3sqrt(5)y =0 and sqrt(5)x - 2y = 13` and the length of its latus rectum is `(4)/(5)`. Find the coordinates of its foci.

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The correct Answer is:
(`pm2sqrt(10),0`)
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