Question 41
Find all values of $a$ such that the equation
$$
\sqrt{\left(4 a^{2}-4 a-1\right) x^{2}-2 a x+1}=1-a x-x^{2}
$$
has exactly two solutions.
$$
\sqrt{\left(4 a^{2}-4 a-1\right) x^{2}-2 a x+1}=1-a x-x^{2}
$$
has exactly two solutions.
MathNet 2004 — Part 01 Question 41
Math Olympiad Vault · MathNet 2004 — Part 01