解下列不等式:
(1)-x2+2x-(2/3)﹥0;(2)9x-6x+1≥0.
(1)-x2+2x-(2/3)﹥0 ⇔ x2-2x+(2/3)﹤0⇔ 3x2- 6x+2﹤0. △=1 2﹥0,且方程3x2-6x+2=0的两根为x1=1-√3/3,x2=1+√3/3 所以原不等式解集{x∣1-√3/3﹤x﹤1+√3/3 (2)9x2-6x+1≥0 (3x-1)2≥0.所以x∈R.所以不等式解集为R.
解下列不等式:
(1)-x2+2x-(2/3)﹥0;(2)9x-6x+1≥0.
(1)-x2+2x-(2/3)﹥0 ⇔ x2-2x+(2/3)﹤0⇔ 3x2- 6x+2﹤0. △=1 2﹥0,且方程3x2-6x+2=0的两根为x1=1-√3/3,x2=1+√3/3 所以原不等式解集{x∣1-√3/3﹤x﹤1+√3/3 (2)9x2-6x+1≥0 (3x-1)2≥0.所以x∈R.所以不等式解集为R.