find the values of k so, that the equation `3x^2+kx+2=0` has equal roots . also find the roots in each case.

Explanation

The given ratic equation is` 3 x^{2}-2 k x+12=0`

On comparing it with the general ratic equation `a x^{2}+b x+c=0,` we obtain a=3, b=-2 k and c=12

Discriminant, D of the given ratic equation is given by



`D=b^{2}-4 a c `

`=(-2 k)^{2}-4 times 3 times 12 `

`=4 k^{2}-144`

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