Question

Find the value of x^2+1/x^2 if x+1/x = 3.
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Answer 1

Answer:

x + 1/x = 3

squaring both the sides

(x + 1/x)² = 3²

x² + (1/x)² + 2 × x × 1/x = 9

x² + 1/x² + 2 = 9

x² + 1/x² = 9 - 2

x² + 1/x² = 7