If x ^ 2 1/(x ^ 2) = 14 find x 1/x
Answer (1)
3rd Mar, 2025
Hello,
Here is the solution :-
We are given:
x ^ 2 + 1 / (x ^ 2) = 14
Step 1: Use Identity
We use the identity:
(x + 1/x) ^ 2 = x ^ 2 + 1 / (x ^ 2) + 2
Substituting the given value:
(x + 1/x) ^ 2 = 14 + 2 = 16
Step 2: Solve for x + 1/x
Taking the square root:
x + 1/x = ±4
Answer:
x + 1/x = ±4
Hope it helps !
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