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在数学王国中,有这么一个家族,他们经常喜欢全家聚在一起作“解方程”的游戏.一次,数学家笛卡儿去拜访他们全家,全家都出来欢迎.有祖父x~4、父亲x~3、儿子x~2、孙子x.他们立刻摆出一个方程作为对数学家笛卡儿最崇高的欢迎仪式,这个方程是这样的x~4-4 x~3-19 x~2+106x-120=0,笛卡儿感到很高兴,他感谢这个家族给了他灵感,使笛卡儿能顺利地解出答案来.数学家笛卡儿的解法是
In the mathematics kingdom, there is such a family that they often like the whole family together to make a game of “solving equations.” Once, the mathematician Descartes paid a visit to their family and the whole family came out welcome. Grandfather x ~ 4, Father x ~ 3, son x ~ 2, grandson x. They immediately set out an equation as the most sublime welcoming ceremony for the mathematician Descartes, which is x ~ 4-4 x ~ 3-19 x ~ 2 + 106x-120 = 0, Descartes was pleased that he thanked the family for his inspiration and enabled Descartes to solve the problem smoothly. The solution of the mathematician Descartes is