The sum of a number and its reciprocal is 2,1/6.what is the number

The sum of a number and its reciprocal is 2,1/6.what is the number i) The sum Of number reciprocal is 2—. is

Dear student,
Let the required number be x, so its reciprocal is 1xBy the problem,x+1x=216x2+1x=1366x2-13x+6=06x2-9x-4x+6=03x(2x-3)-2(2x-3)=0(2x-3)(3x-2)=0either (2x-3)=0 or (3x-2)=0Hence, either x=32 or x=23Regards

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