解几个方程,①x(x+1)(x+2)(x+3)=3 ②x^4+8x^3+14x^+8x+1=0 ③x(x+1)(x^2-2x-4)=0
解几个方程,①x(x+1)(x+2)(x+3)=3 ②x^4+8x^3+14x^+8x+1=0 ③x(x+1)(x^2-2x-4)=0
数学人气:435 ℃时间:2020-01-28 23:26:54
优质解答
①0=x(x+1)(x+2)(x+3)-3=x(x+3)(x+1)(x+2)-3=(x^2+3x)(x^2+3x+2)-3=(x^2+3x)^2+2(x^3+3x)-3=(x^2+3x+3)(x^2+3x-1)因此x^2+3x+3=0或x^2+3x-1=0解得x=(-3±√13)/2②显然x不等于0两边同时除以x^2,并令t=x+1/x得到t^2+8...
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