The roots of the quadratic equation `2x^2-x-6=0` (a)`-2,3/2` (b) `2,-3/2` (c) `-2,-3/2` (d) `2,3/2`

Explanation

Given quadratic equation is:



`2 x^{2}-x-6=0 `

`Rightarrow 2 x^{2}-(4-3) x-6=0 `

`Rightarrow 2 x^{2}-4 x+3 x-6=0 `

`Rightarrow(2 x^{2}-4 x)+(3 x-6)=0 `

`Rightarrow 2 x(x-2)+3(x-2)=0 `

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