Geometric Nightmare

Geometry Level 3

Diagram above shows a unit square ABCDABCD, the line ADAD is extended to point EE such that BEBE is a straight line intersecting the line extended line of ADAD at EE with FF as a point of BFBF that is a point on line side CDCD such that FE=1FE = 1 . Let distance DEDE be denoted as xx. Find the value of xx.

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