If the range of function y = 4 - √ (3-2x-x ^ 2) is - 1 < a < 0, then the inequality ax ^ 2 - (a ^ 2 + 1) x + A

If the range of function y = 4 - √ (3-2x-x ^ 2) is - 1 < a < 0, then the inequality ax ^ 2 - (a ^ 2 + 1) x + A

The range of y = 4 - √ (3-2x-x ^ 2) = 4 - √ [4 - (x + 1) &# 178;] is [2,4];
ax^2-(a^2+1)x+a