Begin by following the herd . . . call the two numbers 'x' and 'y' .
You said that xy=1 , so y = 1/x
You said that x + y = 10, so x + 1/x = 10
Multiply each side by 'x': x² + 1 = 10x
Subtract 10x from each side: x² - 10x + 1 = 0
Use the quadratic formula to solve this, and the two solutions
that you get for 'x' are also the two numbers 'x' and 'y' .
They are
9.89898
and
0.10102
(rounded)
