Question 48
Find all values of $a$ such that the equation
$$
4^{x} - (a^{2} + 3a - 2) 2^{x} + 3a^{3} - 2a^{2} = 0
$$
has a unique solution.
$$
4^{x} - (a^{2} + 3a - 2) 2^{x} + 3a^{3} - 2a^{2} = 0
$$
has a unique solution.
Math Olympiad Vault · MathNet 2004 — Part 01