m为何值时，代数式2m-3分之5m-1的值与代数式2分之7-m的值的和等于5
- 培训职业
- 2025-05-05 16:48:18
(5m-1)/(2m-3)+(7-m)/2=5
(2m-3)(7-m)+10m-2=10(2m-3)
10m-2+14m-21-2m²+3m=20m-30
10m-2m²-23=20m-30
7m-2m²+7=0
2m²-7m-7=0
m²-7/2m-7/2=0
解得：m=（7+√105）/4或 m=(7-√105）／4
(5m-1)/(2m-3)+(7-m)/2=5
(2m-3)(7-m)+10m-2=10(2m-3)
10m-2+14m-21-2m²+3m=20m-30
10m-2m²-23=20m-30
7m-2m²+7=0
2m²-7m-7=0
m²-7/2m-7/2=0
解得：m=（7+√105）/4或 m=(7-√105）／4
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