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2006-08-25 19:20:43 · 32 answers · asked by love2lucky2006 1 in Science & Mathematics Mathematics

32 answers

Not without using faulty logic/math, or assuming the meaning of the proposed procedure is something other than the mathematical equation 4=5, you can't.

Soscan is correct, those who have tried, so far, and would lead you to believe they've succeeded, have ALL used faulty math.

2006-08-25 19:24:07 · answer #1 · answered by Master Maverick 6 · 2 1

12 PROOFS:


Proof1:
Let
b = a ≠ 0

thus,
b = a

Multiply a to both sides
ab = a²

Add (-b² + 3a² - 3ab) to both sides
ab - b² + 3a² - 3ab = a² - b² + 3a² - 3ab

Regroup
(ab - b²) + (3a² - 3ab) = (a² - b²) + (3a² - 3ab)

Factor out
b(a - b) + 3a(a - b) = (a + b)(a - b) + 3a(a - b)

Divide everything by a - b
b + 3a = a + b + 3a

Since b = a, substitute a to all b
a + 3a = a + a + 3a

Add
4a = 5a

Since a ≠ 0, divide a from both sides

.·.
4 = 5
QED



Proof2:
-20 = -20

16 - 36 = 25 - 45
16 - (36/2 + 36/2) = 25 - (45/2 + 45/2)
16 - (36/2 + 36/2) + 81/4 = 25 - (45/2 + 45/2) + 81/4
(4 - 9/2)² = (5 - 9/2)²
4 - 9/2 = 5 - 9/2


.·.
4 = 5
QED



Proof3:
1 = 1
Therefore, (∞ = infinity)
∞ = ∞

Since
4 · ∞ = ∞ and
5 · ∞ = ∞,

4 · ∞ = 5 · ∞
Divide both sides by ∞

.·.
4 = 5
QED



Proof4:
Let
x = 1
Thus,
x = 1 · 1 · 1 · 1 · 1 · 1 · 1 · 1 · 1 · 1 · 1 · 1 · .........
x = 20/20 · 20/20 · 20/20 · 20/20 · 20/20 · 20/20 · 20/20 · ........
x = 4/5 · 5/4 · 4/5 · 5/4 · 4/5 · 5/4 · 4/5 · 5/4 · 4/5 · 5/4 · 4/5 · .......
x = 5/4 · 4/5 · 5/4 · 4/5 · 5/4 · 4/5 · 5/4 · 4/5 · 5/4 · 4/5 · 5/4 · .......
x = 5/4 · (4/5 · 5/4 · 4/5 · 5/4 · 4/5 · 5/4 · 4/5 · 5/4 · 4/5 · 5/4 · .......)
x = 5/4 · x
4x = 5x

.·.
4 = 5
QED



Proof5:
1 = 1
Since we know that
1^4 = 1 and
1^5 = 1,

1^4 = 1^5

.·.
4 = 5
QED



Proof6:
Let
b = a = 4

thus,
b = a

Since ab = ab,
ab + b = ab + a

Transpose b,
ab = ab + a - b

Subtract b² from both sides
ab - b² = ab - b² + a - b

Factor
b(a - b) = b(a - b) + (a - b)

Factor
b(a - b) = (a - b)(b + 1)
Divide:
b = b + 1
Since b = 4,
4 = 4 + 1

.·.
4 = 5
QED



Proof7:
1 = 1
Therefore, (∞ = infinity)
∞ = ∞

Since
∞ + 4 = ∞ and
∞ + 5= ∞,

∞ + 4 = ∞ + 5
Subtract ∞

.·.
4 = 5
QED



Proof8:
Let
x = 0
Thus,
x = 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + .....
x = (1 - 1) + (1 - 1) + (1 - 1) + (1 - 1) + (1 - 1) + (1 - 1) + .....
x = 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + ......
x = -1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 ......
x = 1 + (-1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 ......)
x = 1 + x
4 + x = 4 + 1 + x
4 + x = 5 + x

.·.
4 = 5
QED



Proof9:

Since we know that
log_b b = 1
log_b 1 = 0

Let b = 1:
From log_b b = 1, substitute b = 1 to the second b:
log_b 1 = 1
Since
log_b 1 = 0 from the second equation,
0 = 1
0 + 4 = 1 + 4

.·.

4 = 5
QED



Proof10:
Let
x = 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + ....
x = 1 + (1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + ....)
x = 1 + x
x - x = 1
0 = 1
0 + 4 = 1 + 4

.·.
4 = 5
QED




Proof11:
Let
x = 5/4 · 5/4 · 5/4 · 5/4 · 5/4 · 5/4 · 5/4 · 5/4 · 5/4 · 5/4 · 5/4 · .....
Thus,
x ≠ 0

x = 5/4 · (5/4 · 5/4 · 5/4 · 5/4 · 5/4 · 5/4 · 5/4 · 5/4 · 5/4 · 5/4 · ..... )
x = 5/4 · x
Since x ≠ 0,
1 = 5/4

Multiply 4:

.·.
4 = 5
QED

Proof12:

"If everything in this sentence is true, then 4 = 5."

Suppose everything in the sentence is true.

First, we note that the sentence says, "if everything in the sentence is true, then 4 = 5". Since we are supposing that everything in the sentence is true, it follows that 4 = 5.

Above, we found we proved that 4 = 5 by assuming that everything in the sentence was true. But this is precisely what the sentence already expresses, so the sentence simply states the truth. This frees us from relying on the starting assumption. We now know that everything in the sentence must be true because the sentence is true and that is the only thing that is in the sentence. It follows, therefore, that 4 = 5. Get it?

.·.
4 = 5
QED

2006-08-25 21:03:43 · answer #2 · answered by kevin! 5 · 3 0

4=5

2006-08-25 20:46:03 · answer #3 · answered by paulszone2000 2 · 0 1

I hate to be a basher but I would hate for someone to actually believe 4=5. If you go back up to Alex's seemingly correct equations he leads you to make the mistake of forgetting your order of operations. If you have something in parentheses that can be simplified you must before taking the square root of both sides. (I am referring to where he drops the sqr(a-b) from both sides) But quite masterfully done Alex. I commend you.
And as for the 0/0, nice try but 0/0 is not 1, it's not even 0, it's undefined. However for all practical purposes (which are tricking people into believing 4=5) Alex is correct.

Alright Kevin, I'll take you on.
Proof1
When you divided by (a-b) you must assume a does not equal b otherwise the solution is undefined. Not sure on that one but it's my best guess.

Proof 2
Same as Alex

Proof 3
∞ does not equal ∞.
∞ /∞ = ∞

Proof 4
You can't section off only part of an infinite series without dealing with the other part of the series. Meaning there's another 4/5 floating around somewhere that needs a home.

Proof 5
1^4=1^5 Now take log of both sides we get:
ln(1^4)=ln(1^5) This then simplifies to:
4*ln(1)=5*ln(1) And if anyone wants to get out a calculator
ln(1)=0
(And don't try to divide it out because that would be undefined)

Proof 6
See Proof 1 (Division by 0)

Proof 7
See Proof 3
∞ -∞ = ∞

Proof 8
See Proof 4

Proof 9
See Proof 5
0 and 1 are the exponential of 1. (1^1 and 1^0) Replace 1 and 0 with 4 and 5 and you got the same problem. This would seem somewhat correct but if you graphed it it would look like y=1 which 1 will never be 0.

Proof 10
If x = an infinite number of ones then we're back to the infinity caes. ∞ -∞ = ∞

Proof 11
See Proof 10
Infinite number of 5/4

Proof 12
Needs no explanation.

2006-08-25 20:18:38 · answer #4 · answered by Soscan 2 · 3 0

You can prove any number is equal to any other number if you perform division or multiplication by zero.

4 x 0 = 0
5 x 0 = 0

4 x 0 = 0 = 5 x 0

0r 4 x 0 = 5 x 0

or 4 = 5

2006-08-26 04:49:49 · answer #5 · answered by cherox 3 · 0 1

Its simple
1) 4 is not = 5
2)5 s nt = 4
then 1 = 2
2*2=4
5*1=5
hence 4=5 got it?

2006-08-25 19:51:20 · answer #6 · answered by Sathish 2 · 0 1

In English four means 4, but in some other language if 'five' means 4, then 4 is equal to 5.

2006-08-25 19:48:17 · answer #7 · answered by Anonymous · 0 1

4 x 0 = 0

5 x 0 = 0

4 x 0 / 5 x 0 = 0/0 = 1

Therefore: 4/5 = 1 and 4 = 5

2006-08-25 19:39:15 · answer #8 · answered by yadayada 2 · 0 0

its not see dear 4 =4 5=5 not 5=4 or 4=5 and who the hell came up with that lodgic

2006-08-25 20:22:06 · answer #9 · answered by Kydolf Bootler 2 · 0 0

4=5 for extremely large values of 4

2006-08-25 21:42:29 · answer #10 · answered by PenguinMoose 3 · 0 0

4 squares of 5 inches will be equal to 5 squares of 4 inches there fore 4 is equal to 5

2006-08-25 19:24:49 · answer #11 · answered by raredawn 4 · 0 0

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