iv) If x + 1/x = 2 then x ^ 2 + 1/(x ^ 2) = -2 equal to a) 4 b) 2 c) 0 d) none of these
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iv) If x + 1/x = 2 then x ^ 2 + 1/(x ^ 2) = -2 equal to a) 4 b) 2 c) 0 d) none of these
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Answer:
We are given that x + 1/x = 2. We need to find the value of x^2 + 1/(x^2).
To find x^2 + 1/(x^2), we can square the equation x + 1/x = 2:
(x + 1/x)^2 = 2^2
Expanding the left side of the equation:
x^2
2 + 1/(x^2) = 4
Rearranging the equation:
x^2
1/(x^2) = 4 - 2
x^2
1/(x^2) = 2
Therefore, the value of x^2 + 1/(x^2) is 2.
Hence, the correct option is b) 2.