Algebramedium · Past Paper
If x^2 + 1/x^2 = 2, find x.
A1
B-1
CBoth a and b
D0
✓ Correct Answer: C — Both a and b
x^2 + 1/x^2 = 2 implies x^4 - 2x^2 + 1 = 0 => (x^2 - 1)^2 = 0 => x^2 = 1 => x = ±1.
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✓ Correct Answer: C — Both a and b
x^2 + 1/x^2 = 2 implies x^4 - 2x^2 + 1 = 0 => (x^2 - 1)^2 = 0 => x^2 = 1 => x = ±1.
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