Solve . Which option lists both roots…

MATHEMATICS · Single correct · GCSE · Mathematics · Algebra · Algebra

Problem

Solve

2x\,(x-3)=5x-6

. Which option lists both roots correctly? (a)

\left\{\dfrac{11+\sqrt{73}}{2},\,\dfrac{11-\sqrt{73}}{2}\right\}

(b)

\left\{\dfrac{11+\sqrt{65}}{4},\,\dfrac{11-\sqrt{65}}{4}\right\}

(c)

\left\{\dfrac{11+\sqrt{73}}{4},\,\dfrac{11-\sqrt{73}}{4}\right\}

(d)

\left\{\dfrac{3}{2},\,1\right\}