Question 190
Find all pairs $(t, x)$ of real numbers that satisfy
$$
t^3 - 3t^2 + 3t - x = 0 \quad \text{and}
$$
$$
27(x-1)^4 + (1-x^2)^3 = 0.
$$
$$
t^3 - 3t^2 + 3t - x = 0 \quad \text{and}
$$
$$
27(x-1)^4 + (1-x^2)^3 = 0.
$$
MathNet 2026 — Part 05 Question 190
Math Olympiad Vault · MathNet 2026 — Part 05