Question 35
As shown in the figure below, two circles $\omega,\omega^{\prime}$, with centers $O$ and $O^{\prime}$ respectively, intersect at the points $C$ and $D$. The straight lines $CD$ and $BYXA$ intersect at the point $Z$. Moreover, the straight line $WB$ is tangent to both of the circles. Suppose $ZX=ZY$ and $AB\cdot AX=100$. Find the value of $BW$.
