Find the product of the squareroots of the equation 12x2 x

Find the product of the squareroots of the equation. 12x^2 + x -6 2/3 -3/4 -1/2 1/2

We have given,

12x^2 +x -6

In order to find the roots equate the given quadratic expression equals to 0

12x^2 +x -6 =0

12x^2 +9x -8x -6 =0 (split the middle term and write x= 9x-8x)

=> 3x( 4x+3) - 2(4x+3) =0

=> (3x-2) (4x+3) =0

=> 3x-2 =0 , 4x+3=0

=> x= 2/3 , -3/4

Therefore product of the roots = 2/3 *-3/4 = -1/2

Hence (c) is the correct option.