数学
解方程:150/(x+0.5)-100/x=10

2019-05-28

解方程:150/(x+0.5)-100/x=10
优质解答
150/(x+0.5)-100/x=10
15/(x+0.5)-10/x=1
15x-10(x+0.5)=x(x+0.5)
x²-4.5x+5=0
2x²-9x+10=0
(x-2)(2x-5)=0
∴x=2或x=5/2
150/(x+0.5)-100/x=10
15/(x+0.5)-10/x=1
15x-10(x+0.5)=x(x+0.5)
x²-4.5x+5=0
2x²-9x+10=0
(x-2)(2x-5)=0
∴x=2或x=5/2
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