Question

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` 

Answer 1

(b) `2, 3/2` 

The given quadratic equation is `2x^2-x-6=0` 

`2x^2-x-6=0` 

⇒`2x^2-4x+3x-6=0` 

⇒`2x(x-2)+3(x-2)=0` 

⇒`(x-2) (2x+3)=0` 

⇒`x-2=0  or  2x+3=0` 

⇒ `x=2  or  x=(-3)/2` 

Thus, the roots of the given equation are `2 and (-3)/2` 

Hence, the correct answer is option B.