Find the set of all real values of for which the equation possesses two distinct real…

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

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}

(b)

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

(c)

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

(d)

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