SOLUTION: The sum of a number and its reciprocal is 25/12. What is the number?
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Question 24958: The sum of a number and its reciprocal is 25/12. What is the number?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let n = the required number. You can write:
Simplify and solve for n.
Multiply both sides of the equation by n.
Multiply both sides by 12 and simplify.
Subtract 25n from both sides.
Solve for n by factoring.
Apply the zero products principle.
and/or
If then and
If then and
The answer is: There are two numbers that fit this situation.
and Check:
=
=
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