3 years ago

How to solve 2x^2 -x -6 =0

Mathematics

1 answer:

gtnhenbr [62]3 years ago

4 0

Answer:

Step-by-step explanation:

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

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