解方程(x-2)/(x-3)-(x-3)/(x-4)=(x-5)/(x-6)-(x-6)/(x-7)
来源:学生作业帮助网 编辑:作业帮 时间:2024/04/29 14:34:46
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-3)-(x-3)/(x-4)=(x-5)/(x-6)-(x-6)/(x-7)
解方程(x-2)/(x-3)-(x-3)/(x-4)=(x-5)/(x-6)-(x-6)/(x-7)
((X-2)(X-4)-(X-3)^2)/(X-3)(X-4)=((X-5)(X-7)-(X-6)^2)/(X-6)(X-7),
-1/(X^2-7X+12)=-1/(X^2-13X+42),
6X=30,
X=5.
左右分别通分
得
-1/(x-3)(x-4)=-1/(x-6)(x-7)
所以 原方程化为
(x-3)(x-4)=(x-6)(x-7)
即
x^2-7x+12=x^2-13x+42
6x=30
x=5
(x-2)/(x-3)-(x-3)/(x-4)=(x-5)/(x-6)-(x-6)/(x-7)
(x-3+1)/(x-3)-(x-4+1)/(x-4)=(x-6+1)/(x-6)-(x-7+1)/(x-7)
1/(x-3)-1/(x-4)=1/(x-6)-1/(x-7)
-1/[(x-3)*(x-4)]=-1/[(x-6)*(x-7)]
(x-3)*(x-4)=(x-6)*(x-7)
x^2-7x+12=x^2-13x+42
6x=30
x=5
经代入公分母(x-3)*(x-4)*(x-6)*(x-7)=4≠0,合理
解方程x/(x-2)=2x/(x-3)+(1-x)/(x-5x+6)
(x^2+x)(x^2+x-3)-3(x^2+x)+8=0解方程
解方程{3X+X+2X=12}3X+X+2X=12
解方程(x-3/x)-(3-x/x+1)=5x-15/2x+2
解方程 x(2x-4)+3x(x-1)=5x(x-3)+8
解方程 3x/x×x-1+x×x-1/3x=5/2
解方程:2(X-3)(X+5)=X平方+(X+2)(X-2)+(X+7)
解方程:(x-2)(x^2-6x-9)=x(x-5)(x-3)
x/(x-2)+(x+1)/(x-6)=2x/(x-3) 解分式方程
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(X+1)-X(X-3)=2(X+1)(X-1)+20
解方程 X(X+1)x(X+2)x(X+3)=3024
解方程|x+5|+|2x-3|
解方程2x:3=x:
解方程 |x+2|=-3x