9514 1404 393
Answer:
Step-by-step explanation:
If we let x represent one of the numbers, then you want ...
x(58 -x) = 201.25
x² -58x +201.25 = 0 . . . . . put in standard form
(x² -58x +29²) +201.25 -29² = 0 . . . . complete the square
(x -29)² -639.75 = 0
x -29 = ±√639.75 . . . . . add 639.75 and take the square root
x = 29 ±√639.75 . . . . . . add 29
The two numbers of interest are ...
29 +√639.75 ≈ 54.2933
29 -√639.75 ≈ 3.7067
