两边同时除以200,得
8(1-t)(1+200t)+9(1-t)=13
8(-200t²+199t+1)+9-9t=13
-1600t²+1583t+4=0
20(1-t)*40(1+200t)+45(1-t)*40=2600
800(-200t^2+199t+1)+1800(1-t)=2600
-1600t^2+159200t+800+1800-1800t=2600
-1600t^2+157400t=0
t=0或t=98.375
20(1-t)*40(1+200t)+45(1-t)*40=2600
800(1-t)(1+200t)+1800(1-t)=2600
8(1+200t-t-200t²)+18-18t=26
8+18+1600t-8t-18t-200t²=26
1600t²-1574t=0
t(1600t-1574)=0
t1=0
t2=1574/1600=0.98375