Given: 


Find: 


(HINT: You will need to apply the Quadratic Formula.) 
To find:
The value of x.
Given:
Theorem used:
Angle bisector theorem:
If a ray bisects one angle of a triangle, then it divides the opposite side into segments whose lengths are proportional to the lengths of the two sides that form the bisected angle.
Calculation:
We have
By angle bisector theorem, we get
Given that
Thus
Now let us find x.
Let us find the value of x using the quadratic formula,
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