Thursday, May 27, 2004
Math fun!
Given:
x = 1
x = y
Equation
xx = xy
xx - yy = xy - yy
(x+y)(x-y) = y(x-y)
x+y = y
1+1 = 1
1 = 0
*******************************
1/3 = 0.333...
multiply both sides by 3
1 = 0.999...
************************
let x = .999...
10x = 9.999...
10x - x = 9.999... - .999...
9x = 9
x = 1
*********************************
since there is no number between 9.999... and 10, we can therefore imply they are the same number
Given:
x = 1
x = y
Equation
xx = xy
xx - yy = xy - yy
(x+y)(x-y) = y(x-y)
x+y = y
1+1 = 1
1 = 0
*******************************
1/3 = 0.333...
multiply both sides by 3
1 = 0.999...
************************
let x = .999...
10x = 9.999...
10x - x = 9.999... - .999...
9x = 9
x = 1
*********************************
since there is no number between 9.999... and 10, we can therefore imply they are the same number
Comments:
Post a Comment