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If x2 + x + 1 = 0, then the value of (x + 1/x)2 + (x2 + 1/x2) + .... + (x27 + 1/x27)2 is(a) 27(b) 72(c) 54(d) None of these |
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Answer» Correct option (c) 54 Explanation: ∴ (ω + 1/ω)2 + (ω2 + 1/ω2) + (ω2 + 1/ω3)2 .....+ (ω27 + 1/ω27)2 = (–1)2 + (–1)2 + (2)2 + .................+(2)2 = 18 x 1 + 9 x 4 = 54 |
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