Both the proposition and its converse (“If x³ = y³, then x = y”) are true because cubing preserves equality and real numbers have a unique, sign-preserving real cube root.
Class 9 Maths Ganita Manjari Part 2 chapter 9 Propositions and their Converses solutions
Class 9 Maths Ganita Manjari Part 2 of Chapter 9 solutions
Both the proposition and its converse (“If x³ = y³, then x = y”) are true for all real numbers. If x = y, cubing both sides yields equal cubes. Conversely, the equation x³ – y³ = (x – y)(x² + xy + y²) = 0 implies x = y, because every real number possesses exactly one unique real cube root.
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