x-1/x =8 find the value of x+1/x
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Step-by-step explanation:
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Answered by
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Answer:
68
Step-by-step explanation:
(x - 1/x ) = 8
(x - 1/x)^2 = 8^2
(x - 1/x)^2 = 64
x^2 - 2 * x * 1/x + 1/x^2 = 64
x^2 - 2 + 1/x^2 = 64
x^2 + 1/x^2 = 64 + 2
x^2 + 1/x^2 = 66
x^2 + 1/x^2 + 2 = 66 + 2 [add 2 on both sides for 2ab]
(x + 1/x)^2 = 68.
x + 1/x = √68.
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