Final answer:
The sum of two numbers with a product of 26 is expressed by the function s(x) = x + 26/x. To find their sum, insert the value of one number for x and calculate s(x).
Step-by-step explanation:
To solve for the sum of two numbers when the product is given, let's denote one number by x and the other one can be found as 26/x because their product is 26. To find the sum s(x) of the two numbers as a function of x, you simply add x and 26/x. Hence, the sum as a function of x would be s(x) = x + 26/x.To find the sum of the two numbers, we can use the formula for sum of two numbers: x + y = -b/a, where a and b are the coefficients of x and y in the equation xy = 26. In this case, a = 1 because there is only one x term, and b = 26. So, the sum of the two numbers is -(26/1), which simplifies to -26. Therefore, the sum of the two numbers is -26.
The sum of two numbers whose product is 26 is represented by s(x) = x + 26/x. This expression can be used to find the sum for any given value of one of the numbers, x. The calculation step simply involves plugging in the value of x into s(x) and performing the addition to find the sum.