Thread: x intersection

Determine the values of "k" if the graph y=2x^2-2x+3k intersects the x-axis at two distinct points,
help would be cool

Hello, bondra!

Determine the values of if the graph
intersects the x-axis at two distinct points,

In other words, the graph that parabola has two x-intercepts.

. . That is: . has two real roots.


Quadratic Formula: .

There are two real roots if the discriminant is positive:

. . That is: .