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x coordinates of two points B and C are ...

`x` coordinates of two points B and C are the roots of equation `x^2 +4x+3=0` and their `y` coordinates are the roots of equation `x^2 -x-6=0`. If `x` coordinate of B is less than the `x` coordinate of C and `y` coordinate of B is greater than the `y` coordinate of C and coordinates of a third point A be `(3, -5)`, find the length of the bisector of the interior angle at A.

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The correct Answer is:
`(14sqrt(2))/(3)` units
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