Length....

In the figure above, $A$ , $B$ , $C$ and $D$ are points on the circle such that the straight lines $AB$ and $CD$ intersect at $E$ . Let $[BCE]$ and $[ADE]$ denote the areas of the triangles $\Delta BCE$ and $\Delta ADE$ , respectively.

If $\dfrac{[BCE]}{[ADE]}=25$ and $AE=1$ , find the length of $CE$ .

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