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.
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?
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ReplyDeletePA: 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)