Question

Y=（x平方-3x+3）除以x-2 （x大于2）的最小值

Answer 1

x²-3x+3=(x-2)²+x-1=(x-2)²+(x-2)+1

y=(x²-3x+3)/(x-2)

=(x-2)+1+1/(x-2)

>=2√[(x-2)×1/(x-2)]+1 (当且仅当(x-2)=1/(x-2),即x=3时取等)

=3

所以,y的最小值为3