Question

已知a＞2解不等式组 a(x-2)+1＞0 （x-1）²＞a(x-2)+1

Answer 1

a(x-2)+1＞0 x-2>-1/a x>2-1/a ∵a＞2 ∴1/a3/2 x>3/2

（x-1）²＞a(x-2)+1 （x-1）²-a(x-2)-1>0 x²-2x+1-ax+2a-1>0 x²-(a+2)x+2a>0 (x-a)(x-2)>0

x-a>0 x-2>0 或x-a2或x