Is it the same 'somethings' such that the sum and product = 97?
Are you supposed to factor 97 as the product of integers?
Help us out here a little.
To find out whether there exist two integers whose sum and product is equal to 97, we can start by setting up an equation.
Let's call the two integers x and y. According to the given condition, the sum of x and y should be equal to 97. So, we have the equation:
x + y = 97
Next, we need to check if it is possible for the product of x and y to also be equal to 97. To do this, we can solve the equation by factoring 97 as the product of two integers.
To factor 97, we start by checking if it is divisible by any prime numbers. The prime numbers less than the square root of 97 are 2, 3, 5, and 7. By trying these numbers, we can determine if 97 is divisible by any of them.
After trying those prime numbers, we find that 97 is not divisible by any of them. Therefore, 97 can be considered a prime number.
Since 97 is a prime number and cannot be factored into two smaller integers, we can conclude that there does not exist a pair of integers whose sum and product is equal to 97.
In summary, after attempting to factor 97 and determining that it is a prime number, we can conclude that there are no integers x and y such that their sum and product is equal to 97.