(20-2x)(60-2x)=1500
(x-30)(x-10)=375
x²-40x+300-375=0
x²-40x-75=0
x=(40±10√19)/2=20±5√19
x=20+5√19或x=20-5√19
66/x-40/y=3(1)
4x-4y=1(2)
由(2)x-y=1/4
y=x-1/4
代入(1)
66/x-40/(x-1/4)=3
66/x-160/(4x-1)=3
66(4x-1)-160x=3x(4x-1)
264x-66-160x=12x²-3x
12x²-107x+66=0
x=(107±91)/24
x=33/4或x=2/3
x=33/4时,y=33/4-1/4=8
x=2/3时,y=2/3-1/4=5/12