Sequences and Series
The product of two numbers is and their AM is . Find the numbers.
Solution: We know that the arithmetic mean between two numbers and is .
Here, it is given that , therefore,
It is also given that the product of two numbers and is , thus,
Now using equations 1 and 2, consider,
Adding equations 1 and 3, we have
Substitute the value of in equation 1 as follows:
Hence, the numbers are and .