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Roster Form

The roster fo...

Question

The roster form of the set ${x : x$ is a real number and $x^{3} = 3 x^{2} - 2 x}$

{1, 2}

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{0, 1, 2}

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{1, 2, ϕ}

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{0, ϕ, 1, 2, 3}

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Solution

The correct option is B ${0, 1, 2}$
$x^{3} = 3 x^{2} - 2 x$
$\Rightarrow x^{3} - 3 x^{2} + 2 x = 0$
$\Rightarrow x (x - 1) (x - 2) = 0 \Rightarrow x = {0, 1, 2}$

$∴$ Roster form $= {0, 1, 2}$

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