Find x+1/x if x 2 +1/x 2 =23
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Answered by
133
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.
Answered by
41
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.
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