For which values of will the equation intersect the -axis at two distinct points?

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

Problem

For which values of

k

will the equation

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

intersect the

x

-axis at two distinct points? (a)

|k|\ge 2\sqrt{6}

(b)

|k|<2\sqrt{6}

(c)

|k|>2\sqrt{6}

(d)

|k|>2\sqrt{2}