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# Find The Error In The Proof That 2=1

## Contents

But nuts or not, these are exactly the things we'll be talking about today.Of course, there will be a trick involved because 1 + 1 is certainly equal to 2…thank goodness! Melde dich bei YouTube an, damit dein Feedback gezählt wird. Square roots of negative numbers Invalid proofs utilizing powers and roots are often of the following kind: 1 = 1 = ( − 1 ) ( − 1 ) = − Navigation Panel: Go up to Classic Fallacies index Go down to first subsection This is Not the Fallacy Go forward to 1=2: A Proof using Complex Numbers Switch to text-only version http://indywebshop.com/find-the/find-the-error-1-2-3-4-5.php

finally let a and b be equal to 1, which shows that 2 =1. Thus, by induction, N horses are the same colour for any positive integer N. Yes No Sorry, something has gone wrong. multiply both sides by a to obtain a² = ab.

## 2=1 Proof

By using this site, you agree to the Terms of Use and Privacy Policy. In order to avoid such fallacies, a correct geometric argument using addition or subtraction of distances or angles should always prove that quantities are being incorporated with their correct orientation. The fallacy in this proof arises in line 3.

• The implication "Every N horses are of the same color, then N+1 horses are of the same color" works for any N greater than one, but fails to be true when
• If we remove a horse from the group, we have a group of N - 1 horses of the same colour.
• This one's a classic, but people usually don't bother with the explanation, letting morons argue about it in the comments.
• Positive and negative roots Care must be taken when taking the square root of both sides of an equality.
• As a corollary, one can show that all triangles are equilateral, by showing that AB = BC and AC = BC in the same way.

When treated as multivalued functions, both sides produce the same set of values, being {e2πn | n ∈ ℤ}. A journey into the foundations of math. Anmelden 243 9 Dieses Video gefällt dir nicht? Prove That Papa=mama In fact, O always lies at the circumcircle of the △ABC (except for isosceles and equilateral triangles where AO and OD coincides .

Because, as we've been taught forever, it's never OK to divide by zero!Why Can't You Divide By Zero?Which might get you wondering: Why exactly is it that we can't divide by Prove 1+1=3 If a = 0 then b should also be equal to 0 because we considered a = b at the beginning. Send feedback Contact UsAdvertise with Us About Us ... http://mathforum.org/dr.math/faq/faq.false.proof.html If this property is not recognized, then errors such as the following can result: e 2 π i = 1 ( e 2 π i ) i = 1 i e

Wird verarbeitet... Mathematical Fallacies Schließen Ja, ich möchte sie behalten Rückgängig machen Schließen Dieses Video ist nicht verfügbar. Calculus Calculus as the mathematical study of infinitesimal change and limits can lead to mathematical fallacies if the properties of integrals and differentials are ignored. Let's imagine for a second that division by zero is fine and dandy.

## Prove 1+1=3

Draw line OR perpendicular to AB, line OQ perpendicular to AC Draw lines OB and OC By AAS, △RAO ≅ △QAO (∠ORA = ∠OQA = 90; ∠RAO = ∠QAO; AO = here Du kannst diese Einstellung unten ändern. 2=1 Proof The error in each of these examples fundamentally lies in the fact that any equation of the form x 2 = a 2 {\displaystyle x^{2}=a^{2}} has two solutions, provided a ≠ How To Prove 2+2=5 Think that sounds ridiculous?

Extract of page 207 ^ Maxwell 1959, Chapter VI, §I.1 ^ Maxwell 1959, Chapter VI, §II ^ Nahin, Paul J. (2010). http://indywebshop.com/find-the/find-this-error.php HW Help!? You can only upload photos smaller than 5 MB. reasons that .999... = 1 - Dauer: 10:01 Vihart 1.364.314 Aufrufe 10:01 Disproving Gravity... Prove 1=0

There is a distinction between a simple mistake and a mathematical fallacy in a proof: a mistake in a proof leads to an invalid proof just in the same way, but So the correct fourth roots are i and −i, which are the imaginary numbers defined to square to −1. Please upload a file larger than 100x100 pixels We are experiencing some problems, please try again. http://indywebshop.com/find-the/find-the-error-000.php Text is available under the Creative Commons Attribution-ShareAlike License; additional terms may apply.

Courier Corporation. 2 For 1 Meaning OK, I'll prove it to you. By eliminating y, solve the simultaneous equations?

## Take a minute and see if you can figure it out…OK, got it?It happened when we divided both sides bya -b in the fifth step.

Proof by induction There exist several fallacious proofs by induction in which one of the components, basis case or inductive step, is incorrect. Anmelden Statistik 17.284 Aufrufe 242 Dieses Video gefällt dir? Wiedergabeliste Warteschlange __count__/__total__ Proof that 1=2 (and what's wrong with it) Martymer 81 AbonnierenAbonniertAbo beenden27.22127 Tsd. 2^0 Multivalued functions Many functions do not have a unique inverse.

Explain the error in the following false proof.? x=y X^2=xy X^2-y^2=xy-y^2 (x+y)(x-y)=y(x-y) ((x+y)(x-y)/(x-y))=(y(x-y)/(x-y)) X+y=y Y+y=y 2y=y (2y/y)=(y/y) Log On Ad: Mathway solves algebra homework problems with step-by-step help! The error is here: ((x+y)(x-y)/(x-y))=(y(x-y)/(x-y)) Because we know that x=y So x-y = 0 And we cannot divide by zero. ⌂HomeMailSearchNewsSportsFinanceCelebrityWeatherAnswersFlickrMobileMore⋁PoliticsMoviesMusicTVGroupsStyleBeautyTechShoppingInstall the new Firefox» Yahoo Answers 👤 Sign in ✉ Mail http://indywebshop.com/find-the/find-the-error-111-222.php subtract b^2 from both sides to get a^2 - b^2 = ab - b^2.