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If (a + 1/a)² = 3, find the value of a³ + 1/a³.
- 0
- 3*sqrt(3)
- 6*sqrt(3)
- 1
Correct answer: 0
Solution
Use the identity a³ + 1/a³ = (a + 1/a)³ - 3(a + 1/a). With (a + 1/a)² = 3, the value of s makes the expression vanish.
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