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 quadratic equation is `3x^2−2kx+12=0`

On comparing it with the general quadratic equation `ax^2+bx+c=0`, we obtain

`a=3,b=−2k` and `c=12
`


`D=b^2−4ac`

=`(−2k)^2−4×3×12`

=`4k^2−144`

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