So this equation is a quadratic equation with one variable.

So the quadratic coefficient is not 0.

So the square of k is not equal to 0.

So k is not equal to 0.

δ = square of b-4ac

The square of = (2k- 1)-4 times the square of k times 1.

= 4k squared -4k+ 1-4k squared

=-4k+ 1

Because that equation has two unequal real root,

So delta is greater than 0.

So -4k+ 1 is greater than 0.

So k is less than a quarter.

To sum up, k is not equal to 0, and k is less than a quarter.