On the inequality system 1 ≤ X & # 178; + X + K ≤ 2 of X, then the value of K is?

On the inequality system 1 ≤ X & # 178; + X + K ≤ 2 of X, then the value of K is?

Deformation (x + 0.5) ^ 2 ≤ 2.25 - K because there is only one solution, so the right side of the inequality can only be 0
So k = 2.25