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Math (alg 2)

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The ratio of two numbers is 3 to 2 and the difference of their squares is 20. Find the numbers.

  • Math (alg 2) -

    two numbers: x and y

    x/y = 3/2 or y = 2x/3

    x^2 - y^2 = 20

    x^2 - 4x^2/9 = 20
    9x^2 - 4x^2 = 180
    5x^2 = 180
    x^2 = 36
    x = ±6

    if x = 6, then y = 4
    if x = -6 then y = -4

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