Question

If $x=-\frac{1}{2}$ is a solution of $3x^2+2kx-3=0$, find k.

Answer 1

Given $x=-\frac{1}{2}$ is a solution of $3x^2+2kx-3=0$ then this value of $x$ will satisfy the given equation.

Then we get,

$\frac{3}{4}-\frac{2k}{2}-3=0$

or, $k=-3+\frac{3}{4}$

or, $k=\frac{-9}{4}$.