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In the equadratic equation A(sqrt3-sqrt2...

In the equadratic equation `A(sqrt3-sqrt2)x^2+B/(sqrt3+sqrt2) x+C=0` with `alpha, beta` as its roots. If `A=(49+20sqrt6)^(1/4)`; B=sum of the infinite G.P as `8sqrt3+(8sqrt6)/sqrt3+(16)/sqrt3+.....oo and |alpha-beta|=(6sqrt6)^k` where `k=log_6 10-2 log_6 sqrt5+log_6 sqrt((log_6 18 + log_6 72)),` then find the value of C.

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