Diagram NOT accurately drawn The points $$\(B, C, Y\)$$ and $$\(X\)$$ lie on a circle. $$\(A X Y\)$$ and $$\(A B C\)$$ are straight lines. $$\(A X=12 \mathrm{~cm} \quad X Y=x \mathrm{~cm} \quad A B=x \mathrm{~cm} \quad B C=4 \mathrm{~cm}\)$$ (a) Show that $$\(x^{2}-8 x-144=0\)$$ (3)

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