解方程:150/(x+0.5)-100/x=10
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解方程:150/(x+0.5)-100/x=10
![解方程:150/(x+0.5)-100/x=10](/uploads/image/z/18141749-53-9.jpg?t=%E8%A7%A3%E6%96%B9%E7%A8%8B%EF%BC%9A150%2F%EF%BC%88x%2B0.5%EF%BC%89-100%2Fx%3D10)
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
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