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

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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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step-by-step explanation:

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.