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3 years ago

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

Mathematics

1 answer:

Ahat [919]3 years ago

7 0

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

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