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Maths-

General

Easy

Question

x⁴ –4x –1 = 0 has

atmost one positive real root
atmost one negative real root
atmost two real roots
none of these .

The correct answer is: atmost two real roots

Let f (x) = x⁴ –4x –1
+ – –
\ atmost one positive real root.
f (–x) = x⁴ + 4x –1
+ + –
\ atmost one negative real root.
\ atmost two real root.
Hence (c) is the correct answer.

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