Mathematics

Mathematics

Problem

For the quadratic function fk(x)=x2+kx+4f_k(x)=x^{2}+kx+4 (k∈Rk\in\mathbb R), the minimum value equals 11. Which of the following describes all real values of kk for which this occurs? a) k=±3k=\pm \sqrt3 b) k=±23k=\pm 2\sqrt3 c) k=−2k=-2 d) No real value of kk satisfies the condition

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