求數學1元3次式方程

2010-10-04 7:53 pm
2x^3-3x^2-17x+30=0,求x

回答 (2)

2010-10-04 8:02 pm
✔ 最佳答案
2x^3-3x^2-17x+30=0,求x
Sol
2x^3-3x^2-17x+30=0
2x^3+6x^2-9x^2-27x+10x+30=0
2x^2(x+3)-9x(x+3)+10(x+3)=0
(2x^2-9x+10)(x+3)=0
(2x-5)(x-2)(x+3)=0
x=5/2or x=2 or x=-3


2010-10-06 5:11 am
3x^2-17x+30=0
2x^3+6x^2-9x^2-27x+10x+30=0
2x^2(x+3)-9x(x+3)+10(x+3)=0
(2x^2-9x+10)(x+3)=0
(2x-5)(x-2)(x+3)=0
x=5/2or 2 or -3


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