Complex Numbers...

The roots of $$2{x}^{2}-6x+3=0$$ are

For what values of $$k$$ will the quadratic equation : $$\displaystyle { 2x }^{ 2 }-kx+1=0$$ have real and equal roots?

Find the value of 'm' so that the equation $$\displaystyle { 9x }^{ 2 }-8mx-9=0$$ has one root as the negative of the other. 

Given that $$kx(x-2)+6=0$$ has real and equal roots, the root is

The value of $$k$$ for which $$4{x}^{2}-4\sqrt {3}x+k=0$$ is satisfied by only one real value of $$x$$ is

$$kx^2-2\sqrt 5x +4 = 0$$

For what values of k will the quadratic equation :  $$\displaystyle { 3x }^{ 2 }+kx+3=0$$ have real equal roots? 

For what value of 'k' the equation $$\displaystyle \left( k+3 \right) { x }^{ 2 }-\left( 5-k \right) x+1=0$$ has coincident roots ?

Find the value of $$k$$ for which the equation
$${x}^{2}+kx+81=0$$ and $${x}^{2}-6\sqrt {2}x+k=0$$ has both real roots, $$k> 0$$

For what value of $$k$$ will the quadratic equation $$\displaystyle { 2x }^{ 2 }+3x+k=0$$ have real equal roots ?