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On integers, (aRb) holds when (a^2+a=b^2+b). Which is the equivalence class of (2)?पूर्णांकों पर संबंध (aRb) तब है जब (a^2+a=b^2+b)। (2) का तुल्यता वर्ग कौन सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ({-3,2})({-3,2})
Step 1: (2^2+2=6). Step 2: Solving (x^2+x=6) gives (x^2+x-6=0), so ((x-2)(x+3)=0). Step 3: Hence (x=2) or (x=-3), so the class is ({-3,2}).चरण 1: (2^2+2=6) है। चरण 2: (x^2+x=6) से (x^2+x-6=0) मिलता है, इसलिए ((x-2)(x+3)=0)। चरण 3: इसलिए (x=2) या (x=-3), अतः वर्ग ({-3,2}) है।
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