Discussion

Explanation:

x3 + 3x2 + 4x + 5 = 0                ... (i)

x3 + 2x2 + 7x + 3 = 0               ... (ii)

Equating equations (i) and (ii), we get,

x2 – 3x + 2 = 0

∴ (x – 1)(x – 2) = 0

x = 1 or x = 2

Since both x = 1 and x = 2, do not satisfy either (i) or (ii), there exists no common roots for equations (i) and (ii).

Hence, option (a).

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