X[X/(Y+X)+X/(X-Y)]=120/288
问题描述:
X[X/(Y+X)+X/(X-Y)]=120/288
求X/Y
答
没法解,化简得:
x[2 x^2 /(x^2 - y^2 )]=120/288
若 x=ty;则有 t^2 y/(t-1)=60/288.无穷解
若方程为:X/(Y+X)+X/(X-Y)=120/288
x^2 /(x^2 - y^2 )]=60/288左右两边取倒数,1-(y/x)^2=288/60
y/x=√(19/5) 所以 x/y=√(5/19)