The arithmetic mean (A.M.) of two numbers \( x \) and \( y \) is \( 3 \) and their geometric mean (G.M.) is \( 1 \). Then \( x^2+y^2 \) is equal to:
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You don't need to solve for the individual values of \( x \) and \( y \). Working with the sum and product directly is faster and less prone to calculation errors.