If x-1/x=8 find the value of x+1/x
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Step-by-step explanation:
x - 1/x = 8
squaring on both sides
(x-1/x) ^ 2 = 8 ^ 2 = 64
x^2 + 1/x^2 - 2.x.1/x = 64
x^2 + 1/x^2 = 64+2 = 66 ----- (1)
(x + 1/x)^2 = x^2 + 1/x^2 + 2.x.1/x
= 66 + 2 =68
x+1/x = √68 = 8.246
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