f(0) = 1, f(1) = -1. By Intermediate Value Theorem, exactly one root exists in [0,1].
Back to GATE 2025 Algebra
GATE 2025 — Mathematics Algebra
medium
mcq
2025
Official previous-year question
Verified 30 May 2026.
Question
The number of solutions of the equation x³ - 3x + 1 = 0 in the interval [0, 1] is:
Options
- A
0
- B
1
- C
2
- D
3
Solution
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