Question

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

Answer 1

Step-by-step explanation:

let number be x

x+1/x=10/3

x2+1/x=10/3

(x2+1)×3=10x

3x2+3=10x

3x2-10x+3=0

3x2-9x-x+3=0

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

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

3x-1=0 and x-3=0

x=1/3 and x=3

therefore the number is 3

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