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The reciprocal of the product of two consecutive integers is 1 Over 210 . 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 = 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 . . .