1.90%x(1+20%)+90%x(1+15%)*(2200-x)=2200+131
问题描述:
1.90%x(1+20%)+90%x(1+15%)*(2200-x)=2200+131
2.12%x+14x%(30-x)=4
3.90%x*24(1+20%x)=x
答
1.
90%x(1+20%)+90%x(1+15%)*(2200-x)=2200+131
90%x[(1+20%)+(1+15%)*(2200-x)]=2331
90%x[120%+115%*(2200-x)]=2331
90%x(120%+2530-115%x)=2331
90%x(5%+2530)=2331
90%x(5%+2530)=2331
0.045x+2277=2331
0.045x=54
45x=54000
x=1200
2.
12%x+14x%(30-x)=4
12x+14x(30-x)=400
12x+420x-14x^2=400
432x-14x^2-400=0
216x-7x^2-200=0
7x^2-216x+200=0
x1=(108+2根号2566)/7,x2=(108-2根号2566)/7
3.
90%x*24(1+20%x)=x
2160%x*(1+20%x)=x
21.6x+4.32x^2=x
2160x+432x^2=100x
2160x+432x^2-100x=0
432x^2+2060x=0
108x^2+515x=0
x(108x+515)=0
x=0
108x+515=0
x1=0,x2=-515/108