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Question
a
+
1
a
=
3
-2
47
-6
4
ANSWER : 2
Descrption
<p>দেওয়া আছে, (a + 1/a) = 3</p> <p> = > (a + 1/a)<sup>2</sup> = 3<sup>2 [ উভয় পাশে বর্গ করে]</sup></p> <p> = > a<sup>2</sup> + 2.a.1/a + 1/a<sup>2</sup> = 9</p> <p> = > a<sup>2</sup> + 1/a<sup>2</sup> = 9 - 2 = 7</p> <p> = > (a<sup>2</sup> + 1/a<sup>2</sup>)<sup>2 </sup> = 7<sup>2 [ উভয় পাশে বর্গ করে]</sup></p> <p> = > (a<sup>2</sup>)<sup>2</sup> + 2.a<sup>2</sup>. 1/a<sup>2</sup> + (1/a<sup>2</sup>)<sup>2 </sup> = 49</p> <p> = > a<sup>4</sup> + 2 + 1/a<sup>4</sup> = 49</p> <p> = > a<sup>4</sup> + 1/a<sup>4</sup> = 49 - 2 = 47</p> <p>Ans = 47</p>
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