已知x^2+2/3x+1可以通过配方变形为(x+m)^2+n,则mn=_数学解答

已知x^2+2/3x+1可以通过配方变形为(x+m)^2+n,则mn=

人气：363 ℃　时间：2020-06-13 07:17:02

解答

x² + 2/3 x +1
= [ x² + 2*x*1/3 + (1/3)² ] - (1/3)² +1
= (x +1/3)² + 8/9
m=1/3,n=8/9
mn= 8/27