A community for students.
Here's the question you clicked on:
 0 viewing
asnaseer
 4 years ago
Puzzle: Who can spot what is wrong here?
Theorem: 4 = 5
Proof: 20 = 20
16  36 = 25  45
4^2  (9x4) = 5^2  (9x5)
4^2  (9x4) + 81/4 = 5^2  (9x5) + 81/4
(4  9/2)^2 = (5  9/2)^2
4  9/2 = 5  9/2
4 = 5
asnaseer
 4 years ago
Puzzle: Who can spot what is wrong here? Theorem: 4 = 5 Proof: 20 = 20 16  36 = 25  45 4^2  (9x4) = 5^2  (9x5) 4^2  (9x4) + 81/4 = 5^2  (9x5) + 81/4 (4  9/2)^2 = (5  9/2)^2 4  9/2 = 5  9/2 4 = 5

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0how did you get 20=20 from 4=5

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.0The Theorem states 4 = 5 It is then followed by the proof

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0the third to last step

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.0and what exactly is wrong with that step?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0The step is squaring a negative 1/2 and the other is squaring 1/2

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.0which is fine, since (1/2)^2 = (1/2)^2

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Yes but then the square root of that after is where the problem is

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0you're choosing the positive side

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0not the same negative part you're squaring

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.0it is essentially the same as saying: (1)^2 = (1)^2 therefore 1 = 1

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[\pm[4\frac92]=\pm[5\frac92]\]
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.