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Let ‘ k’ be a real number. Number of real roots of the equation $(3 x^{2} + kx + 3) (x^{2} + kx - 1) = 0$ , is

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at least two

atmost two

exactly two

cannot be determined

answer is A.

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Detailed Solution

$D_{1} for 3 x^{2} + kx + 3 is k^{2} - 36 and D_{2} for x^{2} + kx - 1$ is k² + 4. From D₁ and D₂ there exist at least two real roots.

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