SOLUTION: The reciprocal of the product of two consecutive integers is StartFraction 1 Over 210 EndFraction . Find the integers.

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Question 1152394: The reciprocal of the product of two consecutive integers is StartFraction 1 Over 210 EndFraction
. Find the integers.

Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
StartFraction 1 Over 210 EndFraction
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Gibberish

Answer by ikleyn(52799) About Me  (Show Source):
You can put this solution on YOUR website!
.
The reciprocal of the product of two consecutive integers is highlight%28cross%28StartFraction%29%29 1 Over 210 highlight%28cross%28EndFraction%29%29. Find the integers.
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The simplest way to find the integers is to note that the product of two consecutive integers is 210

and then to guess (using TRIAL and ERROR method) that the numbers are 14 and 15.


This way provides the solution in 9 seconds.


If you need algebra solution, start from the equation


    n*(n+1) = 210


and solve it EITHER using factoring OR the quadratic formula.

Solved.

Another useful recommendation on how to find these integers quickly is to notice that sqrt%28210%29 = 14.49.

Then the seeking numbers are closest integers from both sides of this value . . .


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How your post is presented, it requires titanic efforts to decipher it . . .