题目内容
解方程:
(1)
=
(2)
=
+1.
(1)
| 3 |
| x-2 |
| 5 |
| x |
(2)
| 4x+10 |
| 3x-6 |
| 5x-4 |
| x-2 |
(1)方程两边同时乘以x(x-2)得,3x=5(x-2),解得x=5,
检验:把x=5代入x(x-2)得,5×(5-2)=15≠0,
故x=15是原方程的解;
(2)方程两边同时乘以3(x-2)得,4x+10=15x-12+3x-6,解得x=2,
检验:把x=2代入3(x-2)得,3×(2-2)=0,
故x=2是原分式方程的增根,原方程无解.
检验:把x=5代入x(x-2)得,5×(5-2)=15≠0,
故x=15是原方程的解;
(2)方程两边同时乘以3(x-2)得,4x+10=15x-12+3x-6,解得x=2,
检验:把x=2代入3(x-2)得,3×(2-2)=0,
故x=2是原分式方程的增根,原方程无解.
练习册系列答案
相关题目