SOLUTION: The sum of a number and 6 times its reciprocal is 5. Find the number(s). thanks.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The sum of a number and 6 times its reciprocal is 5. Find the number(s). thanks.      Log On


   

Question 428105: The sum of a number and 6 times its reciprocal is 5. Find the number(s).


thanks.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the number. Then is the reciprocal of the number, and is 6 times the reciprocal. The sum is 5, so:



Multiply by



Put the quadratic into standard form:



Solve the quadratic for . Hint: it factors.

John

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