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Question

The roots of the equation x3 + 2x2 + 5x + 2cos x = 0 in [0, 2π] is

A
only one root
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B
only two roots
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C
only three roots
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D
NO ROOTS EXIST
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Solution

The correct option is D NO ROOTS EXIST
f(x) = x3 + 2x2 + 5x +2cos x = 0 in [0, 2π]x(x2 + 2x + 5) = 2cos x
No.solution

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