Funny Math

Anand Kumar Gupta
3 min readFeb 19, 2022

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While dealing with Math it is necessary that we do not make wrong assumptions.

The following example shows a funny math which is based upon a wrong assumption that Sqrt(2²) = 2:-

Prove that 2+2 = 5

Proof:

We know that 2+2 = 4

Hence, 2+2 = 4-(9/2)+(9/2)

= Sqrt((4–9/2)^2) + (9/2)

= Sqrt{16–2.4.9/2+(9/2)^2} + (9/2)

= Sqrt{16–36 + (9/2)^2} + (9/2)

= Sqrt{-20+(9/2)^2} + 9/2

= Sqrt{25–45+(9/2)^2} + 9/2

= Sqrt{5^2–2.5.9/2+(9/2)^2} + 9/2

= Sort{5–9/2)^2} + 9/2 [because (A^2–2.A.B+B2) = (A-B)^2 ]

=5–9/2+9/2

=5

Thus, 2+2 = 5

The above absurdity is result of the wrong assumption that Sqrt(A)^2 = A whereas Sqrt(A)² is not equal A but ± A.

My purpose of the above mathematical demonstration of how ‘wrong’ = ‘right’ occurs in maths is to point out that same is true of our lives if ‘right’ is understood wrongly.

For example, let us consider the whole idea of money:

Step-1: The government first makes worthless pieces of paper with some kind of prints on it comprising figures and some words;

Step-2: The government declares them to be valuable, calls them currency and gives them some name like Dollar, Pound, Euro, Yen, Yuan, Rupee etc;

Step-3: The Government uses them to compute the value of everything else. We work and our work is measured in terms of currency and we are handed over currency in the name of salary or earning;

Step-4: We use the currency received as salary to buy the necessities of our life from the market, where businessman takes a cut in parlance of salary which he uses similarly; the farmers give their produce to sellers in exchange of currency, the doctor treats the sick in exchange of currency and … so on.

This goes on until the Government goofs up and suddenly value of the currency drops to near nothing and we are left high and dry, with nothing to sustain our lives. This also happens when the Government devalue certain currency values for example on 8th November 2016 the government of India, without any advance public notification, suddenly devalued Indian Rupee Notes of value 500 and 1000. This caused even some deaths as patients who had money only in Rupee Notes of value 500 and/or 1000 and had no health insurance but still needed urgent treatment in hospital were refused treatment because of their incapability to pay for the treatment in valid currency or through Credit/Debit Cards. While on the subject I would not be doing justice unless I also put on records here that the Indian Prime-minister Mr. Modi immediately recognised the falsehood of Currency Notes and very promptly introduced efficient ways and means for public at large to use digital method of payment through Mobile Phones (and Credit/Debit Cards also — as usual) thus making carrying of any substantial currency in pocket in physical form totally unnecessary.

There are numerous examples of ‘wrong’ = ‘right’. But I would just mention one more. This is related with Laws, Rules and justice. In most of the third world countries, developing countries and Communist ruled countries same laws, rules and justice don’t apply to common public and those who are politicians. For example, in India any one who has been sentenced to jail is deprived his/her right to franchise and can’t cast vote in any election but a politician who is in jail can contest election even for parliament; a totally illiterate person cannot get even a menial job in government offices but the same illiterate person can contest election for membership of parliament and upon winning and becoming a member of the parliament can be chosen as Prime Minister of India. Same is true of the position of President of India. A physically disabled person can’t join defence forces but can become the Defence Minister of India.

What an irony — life too has many ‘wrong’ = ‘right’ just like maths simply because of wrongful application of truth.

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Anand Kumar Gupta
Anand Kumar Gupta

Written by Anand Kumar Gupta

Retired engineer. Previously Executive Director — Torrent Power, CEO — L&T Power Plant O&M, Sr. V.P. — Hindalco, Director — Renusagar Eng. Services.

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