10.
If x + 1/X = 3, then find the value of x^2+1/X^2
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Given: x + 1/x = 3
now, Squaring both sides;
⇒ (x + 1/x)² = (3)²
⇒ x² + 1/ x² + 2(x)(1/x) = 9
⇒ x² + 1/ x² + 2 = 9
⇒ x² + 1/ x² = 9 - 2
∴ x² + 1/ x² = 7 is the correct answer.
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