Question

The sum of a number and it's reciprocal is 10/3.find the number.​

Answer 1

let x be the number..

x+1/x=10/3

(x^2+1)3=10x

3x^2-10x+3=0

3x^2-9x-x+3=0

3x(x-3)-1(x-3)=0

3x-1=0. or x-3 =0

x=1/3 or x=3....

hope it helps....!!!

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