SOLUTION: can you please help me solve and check this promblem: (((The sum of a number and its reciprocal is 10/3. What is the number?)))

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Question 152845This question is from textbook Algebra structure and method book 1
: can you please help me solve and check this promblem: (((The sum of a number and its reciprocal is 10/3. What is the number?))) This question is from textbook Algebra structure and method book 1

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Call the number N.

Multiply both sides by 3.
Multiply both sides by N.
Bring everything over to one side.
Factor the quadratic equation.
First solution:



Second solution:


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