解根号里是分式的方程 根号{(h+2)/2} - 根号(h/5) = 0.2 要有思路._百...
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发布时间：2024-11-28 13:45
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根号{（h+2)/2} - 根号(h/5) = 0.2
根号{（h+2)/2} = 根号(h/5)+0.2
(h+2)/2=h/5+0.4√(h/5)+0.04
h+2=2h/5+0.8√(h/5)+0.08
h-2h/5+2-0.08=0.8√(h/5)
3h/5+1.92=0.8√(h/5)
0.6h+1.92=0.8√(h/5)
0.75h+2.4=√(h/5)
3h/4+12/5=√(h/5)
9h²/16+18h/5+144/25=h/5
9h²/16+17h/5+144/25=0
9h²+272h/5+2304/25=0
h²+272h/45+256/25=0
h²+272h/45+(136/45)²=18496/2025+256/25
(h+136/45)²=18496/2025+20736/2025
h+136/45=±√39232/45
h=-136/45±8√613/45舍弃增根
h=(8√613-136)/45
