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[代數]跟上次有點類似的，多項式根與係數球方便的解
由 tw00088437 於 星期二 十一月 21, 2006 7:53 pm
#ed_op#p#ed_cl##ed_op#font face="細明體"#ed_cl#Let xyz≠0#ed_op#/font#ed_cl##ed_op#/p#ed_cl##ed_op#br#ed_cl##ed_op#p#ed_cl#and define f(n)=x#ed_op#sup#ed_cl#n#ed_op#/sup#ed_cl#+y#ed_op#sup#ed_cl#n#ed_op#/sup#ed_cl#+z#ed_op#sup#ed_cl#n #ed_op#/sup#ed_cl#, #ed_op#br#ed_cl#g(n)=x#ed_op#sup#ed_cl#-n#ed_op#/sup#ed_cl#+y#ed_op#sup#ed_cl#-n#ed_op#/sup#ed_cl#+z#ed_op#sup#ed_cl#-n#ed_op#/sup#ed_cl##ed_op#sup#ed_cl##ed_op#/sup#ed_cl##ed_op#/p#ed_cl##ed_op#br#ed_cl##ed_op#p#ed_cl#If f(1)=1#ed_op#/p#ed_cl##ed_op#br#ed_cl##ed_op#p#ed_cl# f(2)=2#ed_op#/p#ed_cl##ed_op#br#ed_cl##ed_op#p#ed_cl# f(3)=3#ed_op#/p#ed_cl##ed_op#br#ed_cl##ed_op#p#ed_cl##ed_op#br#ed_cl##ed_op#/p#ed_cl##ed_op#p#ed_cl#then g(6) = ? f(18) = ?#ed_op#/p#ed_cl##ed_op#br#ed_cl##ed_op#p#ed_cl#(try to find the most convenient way to the question)#ed_op#/p#ed_cl#