Let \( \alpha, \beta \) be two real numbers satisfying the following relations \( \alpha^{2}+\be....

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Let \( \alpha, \beta \) be two real numbers satisfying the following
\( \mathrm{P} \)
relations \( \alpha^{2}+\beta^{2}=5,3\left(\alpha^{5}+\beta^{5}\right)=11\left(\alpha^{3}+\beta^{3}\right) \)
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Possible value of \( \alpha+\beta \)
(1) \( \pm 2 \)
(2) \( \pm 3 \)
(3) \( \pm 1 \)
(4) \( \pm \sqrt{3} \)
.


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