if x² +1/x²=23,find the value of x+1/x with explanation pls
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Answered by
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x² + 1/x² = 23.
x² + 1/x² + 2×x×1/x = 23+2
(x+1/x)² = 25.
(x + 1/x)² = 5².
x + 1/x= 5
Answered by
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Answer:
Step-by-step explanation:
Given, x^2 + 1/x^2 = 23, we need to find what is the value of x+1/x
[(x+1/x)^2 = x^2 + 2 + 1/x^2 ]
But, x^2+1/x^2 = 23 and hence, (x + 1/x)^2 = 23 + 2 = 25
Thus, x + 1/x = sqrt (25) = +/- 5
ANSWER = (+/- 5)
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