A mathematical problem about "quadratic function" Are the two intersections of the image of the function y = x + (2k + 1) x + K and the X axis on the right side of the line x = 1? If so, please explain the reason; if not, request the value range of K when the two intersections are on the right side of the line x = 1

A mathematical problem about "quadratic function" Are the two intersections of the image of the function y = x + (2k + 1) x + K and the X axis on the right side of the line x = 1? If so, please explain the reason; if not, request the value range of K when the two intersections are on the right side of the line x = 1

Axis of symmetry x = - (2k + 1) / 2 > 1,
The solution is k0,4k + 1 > 0, k > - 1 / 4
The intersection is empty
Not all on the right side of x = 1