Match List I with List II :

Choose the correct answer from the options given below :

Given, equation (B) is: $$20x^2-9x+1=0$$

or, $$20x^2-5x-4x+1=0$$

or, $$5x\left(4x-1\right)-1\left(4x-1\right)=0$$

or, $$\left(5x-1\right)\left(4x-1\right)=0$$

or, $$x=\dfrac{1}{5},\dfrac{1}{4}$$

So, the roots are $$\left(\dfrac{1}{5},\dfrac{1}{4}\right)$$

So, for equation (B), the correct choice is (IV)

So, the correct answer will be between option C and option D.

Now, solving equation (D), $$2x^2+11x+12=0$$

or, $$2x^2+8x+3x+12=0$$

or, $$2x\left(x+4\right)+3\left(x+4\right)=0$$

or, $$\left(x+4\right)\left(2x+3\right)=0$$

or, $$x=-4,-\dfrac{3}{2}$$

So, the roots are $$-4,-\dfrac{3}{2}$$

So, for equation (D), the correct choice is (III)

So, the correct answer is option option (D).