解方程:(x²+x+1)/(x²+1)+(2x²+x+2)/(x²+x+1)=19/6 (急)
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解方程:(x²+x+1)/(x²+1)+(2x²+x+2)/(x²+x+1)=19/6 (急)
解方程:(x²+x+1)/(x²+1)+(2x²+x+2)/(x²+x+1)=19/6 (急)
解方程:(x²+x+1)/(x²+1)+(2x²+x+2)/(x²+x+1)=19/6 (急)
化简,得:x/(x^2+1)-x/(x^2+x+1)=1/6——"=1/2-1/3,故x=1必是答案作为方向"
整理,得:x^4+x^3-4x^2+x+1=0
左边分解,得:(x-1)^2(x^2+3x+1)=0——"有了方向,因式中必含有(x-1),逐步分解吧"
解得:x=1,x=(-3+√(9-4))/2,x=(-3-+√(9-4))/2