解方程(x-4000)[14-(x-4800)/50]=10000

问题描述:

解方程(x-4000)[14-(x-4800)/50]=10000

(x-4000)[14-(x-4800)/50]=10000
(x-4000)(700-x+4800)=500000
(x-4000)(x-5500)+500000=0
x²-9500x+22500000=0
(x²-9500x+22562500)-22562500+22500000=0
(x-4750)²=62500
x-4750=±250
x=±250+4750
x=5000或x=4500