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If the equation $x 4 − 4 x 3 + a x 2 + b x + 1 = 0$ has four positive roots, then the value of $a + b$ is

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answer is C.

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Detailed Solution

x 1, x 2, x 3, x 4 (+ v)

be the roots
Clearly

x 1 + x 2 + x 3 + x 4 4 = x 1 x 2 x 3 x 4 4

⇒ x 1 = x 2 = x 3 = x 4 = 1

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