Mathematics

Problem

Find the set of all real values of

k

for which the equation

2x^{2} + kx + 3 = 0

possesses two distinct real roots. a)

k < -2\sqrt{6}\text{ or }k > 2\sqrt{6}

-2\sqrt{6} < k < 2\sqrt{6}

k \le -2\sqrt{6}\text{ or }k \ge 2\sqrt{6}

k < -2\sqrt{3}\text{ or }k > 2\sqrt{3}