Solve and choose the correct set of real roots.

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

Problem

Solve

2x^{4}-3x^{3}-11x^{2}+18x-6=0

and choose the correct set of real roots. (a)

\left\{-\sqrt{6},\,-1,\,1,\,\sqrt{6}\right\}

(b)

\left\{-\sqrt{6},\,0,\,1,\,\sqrt{6}\right\}

(c)

\left\{-\sqrt{6},\,-\dfrac{1}{2},\,1,\,\sqrt{6}\right\}

(d)

\left\{-\sqrt{6},\,\dfrac{1}{2},\,1,\,\sqrt{6}\right\}