Question

Find the roots of the quadratic equation $2x^2+x–6=0$ by factorisation.

• A. $x=2,\frac{3}{2}$
• B. $x=-2,\frac{3}{2}$
• C. $x=-2,\frac{2}{3}$
• D. $x=2,\frac{2}{3}$

Answer 1

The correct option is B $x=-2,\frac{3}{2}$

$2x^2+x-6=0$
$\Rightarrow 2x^2+4x-3x-6=0$
$\Rightarrow 2x(x+2)-3(x+2)=0$
$\Rightarrow (x+2)(2x-3)=0$
$\Rightarrow x+2=0or2x-3=0\Rightarrow x=-2orx=\frac{3}{2}$
$\therefore$ The roots of the given equation are $-2$, $\frac{3}{2}$.