the equation 3x^2 - x^3 = k has three real solutions for k
write down the set of possible values for k
i dont understand: can't k = anything as long as x remains real? and what is meant by '3x^2 - x^3 = k has three real solutions for k'?
Draw the graph of the left hand side of the equation. Where you can draw a horizontal line such that the line intersects the graph three times is a value of k that you want - find all such values.
(drawing is meant for illustration only - it will need to be worked out mathematically. hint: consider turning points)