CBSE Class 9 Answered
if x^3 + 1/(x^3) = 110 find X+1/x?
Asked by deep_72 | 16 May, 2010, 11:40: AM
Expert Answer
Using (a+b)3 = a3 + b3 + 3ab(a2+b2),
we can write
(x + 1/x)3 = x3 + 1/x3 + 3(x + 1/x)
(x + 1/x)3 = 110 + 3(x + 1/x)
X3 - 3X = 110 where X = x + 1/x
Let try X = 5,
53 - (3)(5) = 110
110 = 110,
Hence, x + 1/x = 5.
Regards,
Team,
TopperLearning.
Answered by | 17 May, 2010, 08:06: AM
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