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 Share with your friends Share 0 Abhra Chakraborty answered this Dear student, Let the required number be x, so its reciprocal is 1xBy the problem,x+1x=216⇒x2+1x=136⇒6x2-13x+6=0⇒6x2-9x-4x+6=0⇒3x(2x-3)-2(2x-3)=0⇒(2x-3)(3x-2)=0either (2x-3)=0 or (3x-2)=0Hence, either x=32 or x=23Regards -2 View Full Answer Tanu Shishodia answered this Here's your answer..hope it helps🙂 1