Saturday, November 21, 2009

Progressions X Torrent Find All Possible Values Of X And Y Such That 3, X And Y Will Be In Arithmetic Progression And X,y And 8 Will?

Find all possible values of x and y such that 3, x and y will be in arithmetic progression and x,y and 8 will? - progressions x torrent

are in geometric progression.

1 comment:

  1. ::

    PA: 3, X, Y, 3, 3 +, 3 +2

    GP: x, y, 8, X, BX, b ^ 2x

    Compare the concepts

    x = 3 +, Equation # 1

    y = 3 + 2a Equation # 2

    Y = bx, Equation # 3

    8 = b ^ 2x; equation # 4

    From equation # 1 and # 2 of the equation

    2x - y = 3

    From the equation and the equation # 3 # 4

    8x = y ^ 2

    Combining the last two equations

    = 8x (2x - 3) ^ 2

    8x = 4x ^ 2 - 12x + 9

    4x ^ 2 - 20x + 9 = 0

    x ^ 2 - 5x + 9 / 4 = 0

    (x - 1 / 2) (x - 9 / 2) = 0

    x = 1 / 2, 9 / 2

    For what

    y = -2, 6

    And

    = -5 / 2 3 / 2

    b = -4, 4 / 3


    PA: (3 1 / 2, -2) and (3, 9 / 2, 6)

    GP: (1 / 2, -2, 8) and (9 / 2, 6, 8)

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