Drag each equation to the correct location on the image. Use the discriminant to determine what type of roots the equations will have, and categorize the equations according to their roots.

x² − 4x + 2 = 0 has two distinct real roots.

5x² − 2x + 3 = 0 has two complex roots.

2x² + x − 6 = 0 has two distinct real roots.

13x² − 4 = 0 has two distinct real roots.

x² − 6x + 9 = 0 has one repeated root.

x² − 8x + 16 = 0 has one repeated root.

4x² + 11 = 0 does NOT go on the graph.