Mathematical Proof That  2 = 1
Searching for a math impossibility

Try this one out - see if you can find the hole here!
(Don’t scroll down until you’ve given it a good shot ...)

Initial supposition    x = y
Multiply both sides by x:     xx = xy
Subtract y squared from both sides:     xx - yy = xy - yy
Factor both sides:     (x + y)(x - y) = y(x - y)
Divide both sides by (x - y):     x + y = y
Substitute y for x, based on initial supposition:     y + y = y
Replace y with any number (eg. 1):     1 + 1 = 1 or 2 = 1


Scroll down to see the ‘flaw’ ...
























The step that divides through by (x - y) is effectively dividing by zero, based on the initial supposition. That invalidates the subsequent results.


see also   College  &  School  Sections
Math Puzzle

 

First Snow Blower

Rebar Walker

Men In Kilts

Cheerful Trees

Redneck Air Bags

Elephant Instructions

Statue of Libertea

Selfie Shoes

Whale Skim

Home Depot Delivery

Sudoku Sampler C

Kangaroo On Ice

Dunking Straw

Abbey Road

Redneck's Open Range

I 'Saw' An Accident

Noodle Art

Texas Cow Cleaner

Here Comes Another One

Protractor Cook
Full list of creditsFacebookTwitterDiggStumbleUponDelicious

24-Feb-2018