SOLUTION: Before, solving the problem, I just want to give you the heads up. It's Application of Rational Equations. I can't find the specific title to relate with my story problems. My chap

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Question 190063: Before, solving the problem, I just want to give you the heads up. It's Application of Rational Equations. I can't find the specific title to relate with my story problems. My chapter in the book is Chapter Six Solving Rational Equations and Application of rational Equations. Hope it helps! (D=RxT)

*The sum of a number and its reciprocal is 25/12. Find the number.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


A number: x

The reciprocal of the number:

So,



LCD on the left is x, so:



Cross-multiply:



Distribute, collect like terms, put in standard form and solve the quadratic. Check both roots because you may have to exclude one of them since squaring the variable in the process of solving the problem can introduce extraneous roots. (Although, in this particular case, both roots should prove valid)

John