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On real numbers, (a*b=a+b+1) is defined. What will be the inverse of (a) in this operation?वास्तविक संख्याओं पर (a*b=a+b+1) परिभाषित है। इस क्रिया में (a) का प्रतिलोम क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (-a-2)(-a-2)
Step 1: (a*e=a\Rightarrow a+e+1=a), so (e=-1). Step 2: (a*x=-1\Rightarrow a+x+1=-1\Rightarrow x=-a-2). Step 3: The identity may be negative, so solve the equation instead of guessing.चरण 1: (a*e=a\Rightarrow a+e+1=a), इसलिए (e=-1)। चरण 2: (a*x=-1\Rightarrow a+x+1=-1\Rightarrow x=-a-2)। चरण 3: तत्समक ऋणात्मक हो सकता है, इसलिए अनुमान लगाने के बजाय समीकरण हल करें।
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