若x\3y=y\(2x-5y)=(6x-15y)\x,求(4x²-5xy+6y)\(x²-2xy+3y²)
问题描述:
若x\3y=y\(2x-5y)=(6x-15y)\x,求(4x²-5xy+6y)\(x²-2xy+3y²)
括号的意思就是整体作分子或分母
答
x/(3y)=y/(2x-5y)=(6x-15y)/x x/(3y)=y/(2x-5y)--->2x^2-5xy-3y^2=0--->x=-y/2 or 3y--->x/y=-1/2;or 3 x/(3y)=(6x-15y)/x--->x^2-18xy+45y^2=0--->x=3y or 15y--->x/y=3 or 15 y/(2x-5y)=(6x-15y)/x--->12x^2-61xy+...