If x + 1/x = 5, then the value of x² + 1/x² is:

23. Square both sides: (x + 1/x)² = x² + 2 + 1/x² = 25. Therefore x² + 1/x² = 25 − 2 = 23.

If $x + 1/ x = 5$ , then the value of $x^{2} + 1/ x^{2}$ is:

Competition practiceAlgebra

Square both sides:

(x + 1/ x)^{2} = x^{2} + 2 + 1/ x^{2} = 25

. Therefore

x^{2} + 1/ x^{2} = 25 - 2 = 23

Answer: A) 23

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