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In a triangle ABC, B=30^(@), c=150 , b=5...

In a triangle `ABC`, `B=30^(@)`, `c=150` , `b=50sqrt(3)` .`a_(1), a_(2)` are the two values of the third side `a` , `x` and yare respectively the arithmetic and geometric means of `a_(1)` and `a_(2)` then `((x)/(sqrt(3)))^(2)-((y)/(sqrt(6)))^(2)` is equal to `(k)^(5)` where `k=`

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