用配方法解方程(1-y)(3y-2)=y(y-3)
问题描述:
用配方法解方程(1-y)(3y-2)=y(y-3)
答
(1-y)(3y-2)=y(y-3)
3y-2-3y²+2y=y²-3y
-4y²+8y=2
y²-2y=-1/2
y²-2y+1=1/2
(y-1)²=1/2
y-1=±√2/2
y1=1+√2/2,y2=1-√2/2