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Algebra

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The sum of the squares of the largest and smallest of three consecutive odd integers is 353 less than 3 times the square of the middle one. Find the integers.

  • Algebra - ,

    three consecutive odds:
    x-2 , x, x+2

    (x-2)^2 + (x+2)^ = 3x^2 - 353
    x^2 - 4x + 4 + x^2 + 4x + 4 = 3x^2 - 353
    x^2 = 361
    x = ±√361
    x = ± 19

    So the integers are:
    17, 19, and 21
    or
    -17, -19, -21

  • Algebra - ,

    Find three consecutive integers such that the product of the two largest is 29 more than the square of the smallest integer. (Enter your answers as a comma-separated list.)

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