We’re on

That’s a nice way to start, Jonny

Are you such a dreamer?

To put the world to rights

I’ll stay home forever

Where two and two always makes a five!

Most of us have heard this incredible song from Radiohead. The creators of this piece were specific that two plus two equals five. How did this song become famous? The credit, of course, goes to the movie.

Two & Two (2011 Film)

When I used to apply the same rationale in a math test as a youngster, unfortunately, our teacher would mark it as incorrect. To be truthful, I felt misled. I’ve always wanted to prove the teacher incorrect, and I’m delighted I’ve finally discovered a method to do so!

Have you been made to learn that 2 + 2 equals 4 by your teacher?

Now is the time to disprove him!

In the end, you’re a little Einstein who has the freedom to question even the fundamentals.

The time to tell him how two plus two equals five has arrived.

Are you curious as to how? As you go through the top six approaches to verify this complicated equation, grab a plate of chips.

1st method

Let’s start by solving this weird situation most easily.

Assume the following scenario:

0 equals 0

Now “0” may be obtained by subtracting one number from itself. For example, let us assume that the two figures on the left-hand side (LHS) and right-hand side (RHS) are 4 and 10, respectively.

Like 4-4=10-10

4 may be expressed as 2×2 in this case.

In addition, the number 10 may be expressed as 2×5.

As we continue to solve the problem, we arrive at:

Thus, 2²-2² = 2×5 – 2×5

Thus, (2 – 2) (2 + 2) = 5(2 – 2)

 (2–2) is cancelled from both sides.

=> 2 + 2 = 5 (Therefore proved)

Do you think this strategy is too simple to persuade your teacher that two plus two equals five? Are you searching for something a little more challenging? Don’t despair, and the following approach will help.

It’s wonderful to be a selective friend who doesn’t trust everything the other says.

Therefore, we have a backup plan for our selective friends who aren’t pleased with the explanation above.

2nd method:

Let’s attempt a new approach to solving this problem. Why not throw in a few fractions to make the fight seem more serious?

Assume the following scenario:

-20=-20; (equation 1)

Here, 20 can be written as

=> 16 – 36 and

=> 25 – 45

Substituting in the above equation, 

=> 16 – 36 = 25 – 45.

One can also write this as 

=> 42 – 4 x 9 + 81/4 = 52 – 5 x 9 + 81/4

=> 42 – (2 x 4 x 9/2) + (9/2)2 = 52 – (2 x 5 x 9/2) + (9/2)2

=> (4 – 9/2)2 = (5 – 9/2)2

=> (4 – 9/2) = (5 – 9/2)

=> 4 = 5

It gives us two plus two equals five.

Even Pythagoras was chastised by a small number of people for claiming that the world is round. It’s always a good idea to use a fresh strategy to demonstrate your worth. So, here’s approach number three.

3rd method

Let us now apply this problem to a real-world scenario.

As per the provided data

Two plus two equals five or 4=5

Assume you have four chocolates and have given them all too needy children. You now have a total of 0 chocolates. When written numerically, it looks like this:

=> 4 – 4 = 0

Please take the following example: your neighbour has five oranges, giving them all to those kids. She, too, ends up with nothing in her possession. Arithmetically:

=> 5 – 5 = 0

Therefore

=> 0 = 0

=> 4 – 4 = 5 – 5

Or

=> 4(1–1) =5(1–1)

=> 4=5((1–1)/ (1–1))

=> 4 = 5

Or

=> 2 + 2 = 5

Or

=> 2+2=2+2+1

Or

=> 2+2+1=2+2

Although proving that two plus two equals five, the approach is not among my preferences. As a result, I decided to add some extra flavour to the situation. When I mention flavour, I’m referring to geometry. And besides, isn’t it true that things are always better comprehended through graphic representation?

Sometimes people are not persuaded by numbers. So, using Method 4, you’ll be persuaded from all aspects.

4th method

Are there any geometry aficionados out there? Then, let us look at the geometrical proof for our peculiar situation.

Consider the following triangle: BA = 4, AC= 5, and CB = 3.

Make the angle bisector of ∠A and the BC’s perpendicular bisector.

Now,

BA = 4

CA= 5

As a result, the angle and perpendicular bisectors are not parallel. Therefore, they intersect at point O. Perpendiculars RO and QO should be dropped to sides BA and AC, respectively. Next, make the BO and CO. segments.

First Case

OA = OA by reflexivity,

∠OAR = ∠OAQ (OA is an angle bisector)

∠ORA = ∠OQA  (both are right angles)

 By the theory of angle side congruence, ΔORA ≅ ΔOQ

Therefore, by CPCTC, AR = QA and OR= QO. First equation 1

Second Case:

DO = DO by reflexivity,

∠BDO = ∠CDO (both are right angles)

DB = CD (DO bisects CB)

By the theory of side angle side congruence, ΔBDO ≅ ΔCDO

Therefore, by CPCTC, B. =CO. Second equation 2

Therefore,

OR = QO from 1

BO = CO from 2

Again, because ∠BRO. and ∠OQC are both right angles, according to the hypotenuse-leg theorem for congruence, it implies that ΔBRO ≅ ΔOQC. Thus, by the theory of CPCTC, RB = CQ. Third equation 3

Thus RA= QA and RB = CQ has been proved. Again, BA = RA + BR = QA + CQ = CA.

Therefore, 4 = 5,

Thus, two plus two equals five.

Well? Is it too difficult to comprehend? Well, I enjoyed it since I am a mathematician. However, I have a gift for all those who didn’t care for this strategy. Are you curious as to what it may be? Continue reading.

So that’s how two plus two equals five is proven. Wasn’t that simple?

I’m sure your teacher would commend you for proving him incorrect! You’ll undoubtedly become his new favourite!

Even though the solution is incorrect, your teacher or professors will be taken away by your degree of logic.

5th method

One of our acquaintances used this method to prove the equation correct. DO NOT ATTEMPT IT.

In his own words…

“Two lads were attempting to steal two bananas each from one of my friends who had five bananas.”

My relationships with my friends have been strained.

I challenged all three of them to battle who would get the four bananas.

My friend started fighting with five bananas on the ground.

For a long time, the three battled between themselves.

While they were arguing, I informed my teacher. My teacher forced them to sit on the floor in front of the class, and I ate all five bananas.”

Therefore, I got two lads to each acquire two bananas from my friend, giving me a total of five bananas.”

Well, until you read it, you’d believe it was a programming joke.

Method six:

The last option will appeal to you, particularly if you love to code.

You may also solve this situation with an easy and straightforward computer code. Simply input these few pieces of code, run it, and verify that two plus two equals five for you.

$ cat test.c

#include <stdio.h>

int main() {

int a = 3;

int b = 3;

// are we not supposed to add 2 and 2 ??/

a = 2;

b = 2;

printf(“%d\n”, a + b);

return 0;

}

$ gcc -W -Wall -trigraphs test2.c 2>/dev/null

$ ./a.out

5

And that is how two plus two equals five is proven. How hard was it? It wasn’t.

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