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On all real numbers, (aRb) if and only if (a^2-a=b^2-b). Which is the equivalence class of (3)?सभी वास्तविक संख्याओं पर (aRb) तब और केवल तब जब (a^2-a=b^2-b)। (3) का तुल्यता वर्ग कौन-सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ({-2,3})({-2,3})
Step 1: (3^2-3=6). Step 2: (x^2-x=6) gives (x^2-x-6=0), that is ((x-3)(x+2)=0). Step 3: Hence (x=3) or (x=-2), so the class is ({-2,3}).चरण 1: (3^2-3=6)। चरण 2: (x^2-x=6) से (x^2-x-6=0), अर्थात ((x-3)(x+2)=0)। चरण 3: इसलिए (x=3) या (x=-2), और वर्ग ({-2,3}) है।
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