I have a problem that I need checked it is the produce of the reciprocals of two consecutive integes is 1/182 Find the integers. I have as the answer -13,-14 or 13,14 is this correct?
yes. Either pair of numbers is correct
Thank you
To check if the integers -13 and -14 (or 13 and 14) are the correct answer to the given problem, we can calculate the product of their reciprocals and see if it matches the given value of 1/182.
To find the reciprocal of an integer, we can compute 1 divided by the integer.
For -13 and -14:
Reciprocal of -13 = 1/(-13) = -1/13
Reciprocal of -14 = 1/(-14) = -1/14
Now, we can calculate the product of the reciprocals of the integers -13 and -14:
(-1/13) * (-1/14) = 1/182
As we can see, the product of the reciprocals of -13 and -14 is indeed equal to 1/182. Therefore, the answer -13 and -14 is correct.
Similarly, if we check the integers 13 and 14, we will find that their reciprocals also have a product of 1/182.
Hence, the correct answer to the problem is either -13, -14 or 13, 14.