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ICSE Class 8 Answered

if a+1=3 a
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Asked by singhk35600 | 11 May, 2020, 10:29: AM
answered-by-expert Expert Answer
Give: a+1/a = 3
(i)
a2 + 1/a2 = a2 + 1/a2 + 2 - 2 = a2 + 1/a2 + 2 x a x 1/a - 2 = (a+1/a)2 - 2 = 32 - 2 = 9 - 2 = 7
 
(ii) a4 + 1/a4 = a4 + 1/a4 + 2 - 2 = a4 + 1/a4 + 2 x a2 x 1/a2 - 2 = (a2 + 1/a2)2 - 2 = 72 - 2 = 47
Answered by Renu Varma | 11 May, 2020, 11:18: AM
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