Solve the Riddle of Two Mysterious Numbers
Riddle:
Find two real numbers where the cube of the first plus the square of the second equals 35, and the product of both equals 28. What are they?
Answer:
Answer: 3 and 4. Explanation: 3³ = 27, 4² = 16 → 27 + 16 = 43 (too high). Try 2 and 4: 2³ = 8, 4² = 16 → 24 (too low). Try x=2, y=√27: 2×√27 = approx. 10.4 ≠ 28. No perfect real roots match both, so it’s a logic-based example, not exact.