Question 298679
    Find 2 positive real numbers that differ by 2 and have a product of 10.
.
Let x = smaller of two positive real number
then
x+2 = larger of two positive real number
.
x(x+2) = 10
x^2+2x = 10
x^2+2x-10 = 0
.
Since we can't factor, we must resort to the quadratic formula giving us:
x = {2.317, -4.317}
Since the problem want "positive" numbers our solution is:
x = 2.317
The other number is then 
2.317 + 2 = 4.317
.
The two numbers are 2.317 and 4.317
.
Details of quadratic formula follows:
*[invoke quadratic "x", 1, 2, -10 ]