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代数式2m-3分之5m-1的值比代数式2分之7-m的值大5
(5m-1)/(2m-3) -(7-m)/2>5
(5m-1)/(2m-3) -(7-m)/2-5>0
[2(5m-1)-(2m-3)(7-m)-10(2m-3)]/[2(2m-3)]>0
[10m-2-14m+2m^2+21-3m-20m+30]/(2m-3)>0
(2m^2-27m+29)/(2m-3)>0
(1)
(2m^2-27m+29)>0
(2m-3)>0
解得 m>(27+√497)/4
(2)
(2m^2-27m+29)<0
(2m-3)<0
解得 (27-√497)/4<m<3/2
(5m-1)/(2m-3) -(7-m)/2>5
(5m-1)/(2m-3) -(7-m)/2-5>0
[2(5m-1)-(2m-3)(7-m)-10(2m-3)]/[2(2m-3)]>0
[10m-2-14m+2m^2+21-3m-20m+30]/(2m-3)>0
(2m^2-27m+29)/(2m-3)>0
(1)
(2m^2-27m+29)>0
(2m-3)>0
解得 m>(27+√497)/4
(2)
(2m^2-27m+29)<0
(2m-3)<0
解得 (27-√497)/4<m<3/2
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2m-(5m-1)/3的值比代数式(7-m)/2的值大5
即有2m-(5m-1)/3-(7-m)/2>5
12m-2(5m-1)-3(7-m)>30
12m-10m+2-21+3m>30
5m>49
m>49/5
即有2m-(5m-1)/3-(7-m)/2>5
12m-2(5m-1)-3(7-m)>30
12m-10m+2-21+3m>30
5m>49
m>49/5
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m1=[-47+sqrt(1817)]/4
m2=[-47-sqrt(1817)]/4
m2=[-47-sqrt(1817)]/4
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