Question

If `x=-1/2` is a solution of the quadratic equation  `3x^2+2kx-3=0` 

Find the value of k. 

Answer 1

It is given that x=`-1/2`  is a solution of the quadratic equation  `3x^2+2kx-3=0` 

∴` 3x((-1)/2)^2+2kxx((-1)/2)-3=0` 

⇒`3/4-k-3=0` 

⇒` k=(3-12)/4=9/4` 

Hence, the value of k is `-9/4`