Question

What do you multiply to get 201.25 and add to get 58

Answer 1

9514 1404 393

Answer:

• 29 +√639.75
• 29 -√639.75

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