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

来源：学生作业帮助网 编辑：作业帮 时间：2024/04/27 13:55:21
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)

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

解方程 x(2x-4)+3x(x-1)=5x(x-3)+8 解方程x（x-1)(x-2)(x-3)(x-4)=24x=? 解方程：x(3x-4)+2x(x+7)=5x(x-7)+90 解方程:x-2x+3x-4x+...+99x-100x=25 解方程：x-2x+3x-4x+.+99x-100x=25 解方程(x+1/x-1)+(x-2/x+2)+(x-3/x+3)+(x+4/x-4)=4 解方程：(x+3)/(x+2)-(x+4)/(x+3)=(x+5)/(x+4)-(x+2)/(x+1) 解方程：（x-8）/(x-3)-(x-9)/(x-4)=(x+7)/(x+8)-(x+2)/(x+3) 解方程(x-2)/(x-3)-(x-3)/(x-4)=(x-5)/(x-6)-(x-6)/(x-7) 解方程 x+2/x+1+x+8/x+7=x+6/x+5+x+4/x+3 解方程：2x+4x+6x...+100x=1-(x+3x+5x+...+99x) 解方程 (x+2)/(x+1) - (x+4)/(x+3)=(x+6)/(x+5)-(x+8)/(x+7) 解方程(x-3)^2=4x(x-3) (x-3)^2=4x(x-3) 解方程 3x^2-4x=2x 解方程 2x+3x=18+4x解方程 解方程：x(2x+3)=4x+6 解方程3(x+1)(x-2)=4x