The number of distinct real roots of \(x^4 – 4x + 1 = 0\) is :
- 4
- 2
- 1
- 0
The Correct Option is B
Solution and Explanation
\(ƒ(x) = x^4 – 4x + 1 = 0\)
\(ƒ′(x) = 4x^3 – 4\)
= \(4(x – 1) (x^2 + 1 + x)\)
Hence, the correct option is (B): \(2\)
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