求如何将(y-0.5)^ 2=x^2+y^2-xy化简成y=2+(x-1)+3/[4(x-1)],
问题描述:
求如何将(y-0.5)^ 2=x^2+y^2-xy化简成y=2+(x-1)+3/[4(x-1)],
答
原式去括号得:y²-y+0.25=x²+y²-xy移项化简得:(x-1)y=x²- (1/4)所以:y=[x²- (1/4)]/(x-1)=[(x²-1)+(3/4)]/(x-1)=x+1+ 3/[4(x-1)]=2+(x-1) + 3/[4(x-1)]