Question

How to solve 2x^2 -x -6 =0​

Answer 1

Answer:

x = -1.5 or x = 2

Step-by-step explanation:

$2x^2-x-6=0\\\\2x^2+3x-4x-6=0\\\\x(2x+3)-2(2x+3)=0\\\\(2x+3)(x-2)=0\iff2x+3=0\ \vee\ x-2=0\\\\2x+3=0\qquad\text{subtract 3 from both sides}\\2x=-3\qquad\text{divide both sides by 2}\\\boxed{x=-1.5}\\\\x-2=0\qquad\text{add 2 to both sides}\\\boxed{x=2}$