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The equation whose roots exceed by 2 than the roots of $4 x^{4} + 32 x^{3} + 83 x^{2} + 76 x + 21 = 0$ is

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$4 x^{4} + 13 x^{2} + 9 = 0$

$4 x^{4} - 13 x^{2} + 9 = 0$

$4 x^{4} + 12 x^{2} - 9 = 0$

$4 x^{4} - 13 x^{2} - 9 = 0$

answer is B.

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Detailed Solution

$α + 2 = x α = x - 2$

$f (x - 2)$

$4 (x - 2)^{4} + 32 (x - 2)^{3} + 83 (x - 2)^{2} + 76 (x - 2) + 21 = 0 4 x^{4} - 13 x^{2} + 9 = 0$

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