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Groups and FieldsHardGroups and the Group Axioms

Groups and the Group Axioms · Hard problem

On Q∖{−13}\mathbb Q\setminus\{-\tfrac{1}{3}\}, define a∗b=a+b+3aba*b=a+b+3ab, which forms a group with identity 00. Given a=1a=1 and b=2b=2, find xx such that 1∗x∗2=41*x*2=4.