Question

Find the roots of the quadratic equation `2x^2-x-6=0` 

 

The roots of the quadratic equation 2x² − x − 6 = 0 are

Options

• A.`-2,3/2`

• B.`2,-3/2`

• C.`-2,-3/2`

• D.`2,3/2`

Answer 1

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` 

Hence, the roots of the given equation are` 2 and -3/2`