Busca dos números consecutivos de manera que la diferencia de sus cuadrados sea 19

Answers (1)
  1. Raif
    The numbers are 9 and 10.

    Let x be the first number. Since they are consecutive, this means (x+1) represents the second number.

    The square of x is x2. The square of (x+1) is

    (x+1) 2 = (x+1) (x+1) = x2+1x+1x+1=x2+2x+1

    The difference of these squares would be given by

    x2+2x+1 - x2

    Setting this equal to 19,

    x2+2x+1 - x2 = 19

    Combining like terms,

    2x+1=19

    Subtract 1 from each side:

    2x+1-1=19-1

    2x=18

    Divide both sides by 2:

    2x/2 = 18/2

    x = 9

    The first number, x, is 9. This means the second number, x+1, is 9+1=10.
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