Algebrahard · Past Paper

If x^2 + 1/x^2 = 7, find x + 1/x (for positive x).

A3
B9
Csqrt(7)
D5

✓ Correct Answer: A3

(x + 1/x)^2 = x^2 + 1/x^2 + 2 = 7 + 2 = 9. So x + 1/x = 3.

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