题目内容
解下列方程:
(1)
=
(2)
=
(3)
-
=4
(4)
+
=1
(5)
+3=
(6)
=
+2
(7)
=
(8)
=
-1
(9)
+
=2
(10)
-1=
(11)
-
=
.
(1)
x-2 |
x+3 |
3 |
4 |
(2)
3 |
x-1 |
4 |
x |
(3)
300 |
x |
480 |
2x |
(4)
x |
2x-5 |
5 |
5-2x |
(5)
1 |
x-2 |
1-x |
2-x |
(6)
2x+9 |
3x-9 |
4x-7 |
x-3 |
(7)
2 |
1-x2 |
3 |
1+x |
(8)
1 |
x-1 |
x-2 |
x+1 |
(9)
2x |
x-1 |
2 |
x+2 |
(10)
3-2x |
1-x |
x+2 |
x-3 |
(11)
x-1 |
x+1 |
x |
x-1 |
4 |
x2-1 |
(1)去分母得:4x-8=3x+9,
解得:x=17,
经检验x=17是分式方程的解;
(2)去分母得:3x=4x-4,
解得:x=4,
经检验x=4是分式方程的解;
(3)去分母得:600-480=8x,
解得:x=15,
经检验x=15是分式方程的解;
(4)去分母得:x-5=2x-5,
解得:x=0,
经检验x=0是分式方程的解;
(5)去分母得:1+3x-6=x-1,
解得:x=4,
经检验x=4是分式方程的解;
(6)去分母得:2x+9=12x-21+6x-18,
解得:x=3,
经检验x=3是分式方程的解;
(7)去分母得:2=3(1-x),
解得:x=
,
经检验是分式方程的解;
(8)去分母得:x+1=(x-2)(x-1)-x2+1,
解得:x=
,
经检验是分式方程的解;
(9)去分母得:2x(x+2)+2(x-1)=2(x-1)(x+2),
整理得:x=-
,
经检验是分式方程的解;
(10)去分母得:(3-2x)(x-3)-(1-x)(x-3)=(1-x)(x+2),
整理得:3x-9-2x2+6x-x+3+x2-3x=x+2-x2-2x,即6x=11,
解得:x=
,
经检验是分式方程的解;
(11)去分母得:(x-1)2-x(x+1)=4,
整理得:x=-1,
经检验x=-1是增根,原分式方程无解.
解得:x=17,
经检验x=17是分式方程的解;
(2)去分母得:3x=4x-4,
解得:x=4,
经检验x=4是分式方程的解;
(3)去分母得:600-480=8x,
解得:x=15,
经检验x=15是分式方程的解;
(4)去分母得:x-5=2x-5,
解得:x=0,
经检验x=0是分式方程的解;
(5)去分母得:1+3x-6=x-1,
解得:x=4,
经检验x=4是分式方程的解;
(6)去分母得:2x+9=12x-21+6x-18,
解得:x=3,
经检验x=3是分式方程的解;
(7)去分母得:2=3(1-x),
解得:x=
1 |
3 |
经检验是分式方程的解;
(8)去分母得:x+1=(x-2)(x-1)-x2+1,
解得:x=
1 |
2 |
经检验是分式方程的解;
(9)去分母得:2x(x+2)+2(x-1)=2(x-1)(x+2),
整理得:x=-
1 |
2 |
经检验是分式方程的解;
(10)去分母得:(3-2x)(x-3)-(1-x)(x-3)=(1-x)(x+2),
整理得:3x-9-2x2+6x-x+3+x2-3x=x+2-x2-2x,即6x=11,
解得:x=
11 |
6 |
经检验是分式方程的解;
(11)去分母得:(x-1)2-x(x+1)=4,
整理得:x=-1,
经检验x=-1是增根,原分式方程无解.
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