Find the values of k for which the quadratic equation


Find the values of $k$ for which the quadratic equation $3 x^{2}+k x+3=0$ has real and equal roots?



Let $3 x^{2}+k x+3=0$ be a quadratic equation.

It is given that, it has real and equal roots.

$\Rightarrow$ Discriminant $=0$

$\Rightarrow b^{2}-4 a c=0$


$\Rightarrow k^{2}=36$

$\Rightarrow k=\pm 6$

Hence, the values of k are –6 and 6.


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