In A Triangle ABC Right Angled At C , The Median Through B Bisects The Angle Between BA And The Bisector Of Angle ABC .
Call
X = AB/BC
If The Range Of Values Of X Can Be Expressed As (a,b)
Then Determine The Value Of b-a
Not Original
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Relevant wiki: Cubic Equations
Hint-using the given conditions and assuming the ratio to be t form a cubic in t and check for the range of t .t lies between ( 5 / 2 , 3 ) .