If `x=-(1)/(2)` is a solution of the quadratic equation `3x^(2)+2kx-3=0`, find the velue of k.

Answer

`k=(-9)/(4)`

Explanation

Since `x=(-1)/(2)` is a solution of `3x^(2)+2kx-3=0,` we have
`3xx((-1)/(2))^(2)+2kxx((-1)/(2))-3=0`
`implies" "(3)/(4)-k-3=0impliesk=((3)/(4)-3)=(-9)/(4).`