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If x + 1/x = 15, then the value of x² + 1/x² is _____?

If x + 1/x = 15, then the value of x² + 1/x² is _____?

Explanation

x + 1/x = 15

(x + 1/x)² = 15²

x² + 2(x)(1/x) + 1/x² = 225

x² + 2 + 1/x² = 225

x² + 1/x² = 225 - 2

x² + 1/x² = 223