I don't know how to do the part ii.

The equation of a curve is

i) Find the range of values of k if the curve does not meet the x-axis.

ii) Show that the line intersects the curve for all real values of k.

Solution

i) Since curve does not meet x-axis,

k < 0 or 4k < 16

k < 4

Range of Values of k is k < 4

ii) Stucked!