∵5x ²-6x+11=5(x²-2*3/5x)+11=5(x-3/5)²-9/5+11=5(x-3/5)²+46/5
5(x-3/5)²≥0
∴当x=3/5时代数式五x的平方减六x加十一的值最小,为46/5.