Question

Find two numbers whose sum is 27 and product is 365​

Answer 1

x^2 + (x-27)^2=365

(hopefully that was the answer you were looking for)

Answer 2

There are no real number solutions to this.

Explanation:

x + y = 27

xy = 365

y = 365/x

x + 365/x = 27

x^2 + 365 = 27x

x^2 - 27x + 365 = 0

x = [27 +/- sqrt(27^2 - 4 * 1 * 365)] / 2

x = (27 +/- sqrt (-731)/2

- No real roots.