解方程:(x+3)/(x+2)-(x+4)/(x+3)=(x+5)/(x+4)-(x+2)/(x+1)

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解方程:(x+3)/(x+2)-(x+4)/(x+3)=(x+5)/(x+4)-(x+2)/(x+1)解方程:(x+3)/(x+2)-(x+4)/(x+3)=(x+5)/(x+4)-(x+2)/(x+

解方程:(x+3)/(x+2)-(x+4)/(x+3)=(x+5)/(x+4)-(x+2)/(x+1)
解方程:(x+3)/(x+2)-(x+4)/(x+3)=(x+5)/(x+4)-(x+2)/(x+1)

解方程:(x+3)/(x+2)-(x+4)/(x+3)=(x+5)/(x+4)-(x+2)/(x+1)
(x+3)/(x+2)-(x+4)/(x+3)=(x+5)/(x+4)-(x+2)/(x+1)
((x+3)^2-(x+4)(x+2))/((x+3)*(x+2))=((x+5)(x+1)-(x+4)(x+2))/((x+1)(x+4))
1/(x^2+5x+6)=-3/(x^2+5x+4)
-3x^2-15x-18=x^2+5x+4
4x^2+20x+22=0
Δ=400-4*4*22=48
x=(-20±4√3)/4
x=-5±√3

X平方+5X+6-X平方-7X-12=X平方+9X+20-X平方-3X-2
-2X-6=6X+18
8X=-24
X=-3

看起来容易,实际挺难

√3-5/2

(x+2+1)/(x+2)-(x+3+1)/(x+3)=(x+4+1)/(x+4)-(x+1+1)/(x+1)
所以列项的 1/(x+2)-1/(x+3)=1/(x+4)-1/(x+1)
1/(x+1)-1/(x+3)=1/(x+4)-1/(x+2)
通分得 2/(x+1)*(x+3)=-2/(x+4)*(x+2)
(x+1)*(x+3)=-(x+4)*(x+2)
X^2+4X+3=-(X^2+6X+8)
2X^2+10X+11=0
X=-5±√3