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the sum of two numbers is 42. their product is 185. what are the two numbers?

  • math -

    37 and 5

  • math -

    x+y = 42 ---> y = 42-x

    xy = 185
    x(42-x) = 185
    42x - x^2 - 185 = 0
    x^2 - 42x + 185 = 0
    x^2 - 42x +441 = -185+441
    (x-21)^2 = 256
    x-21 = ± √256
    x = 21 ±16 = 37 or 5

    if one number is 37 , the other is 5

    or one is 5 , the other is 37

    check:
    sum = 37+5 = 42
    product = 37x5 = 185

  • math -

    9b+21

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