Does 2a=A? EDITED

[Flap Jack452]

Edit: I am using a model provided by a poster (sms_117b), all the stuff that he added my friend said when he explained it to me, but I forgot when transferring it here. Sorry for confusion, but here is real equation.

This is an interesting string of equations that my friend came up with during school today, claiming that he "broke math". I don't really understand it but here it is anyway:

a = b

Multiply both sides by a
a * a = b * a

subtract b^2 from both sides
a^2 - b^2 = a * b - b^2

Expand to brackets
(a - b) * (a + b)= b * (a - b)

divide by (a - b)
a + b = b

2a = a as a = b

So what do you guys think? Does this make sense to you, or is my friend just an idiot?

 

[D_987]

Thats very intresti... I'm sorry, I just can't say it...

 

[RetiarySword]

You can't break maths, hes just an idiot with wrong equations.

EDIT: Unless a and b both equalled 0, but you could put anything then.

 

[L33tsauce_Marty]

Well from a programming perspective a could easily equal b.

 

[PizzaDentist]

how is a^2 = b


that's silly

 

[teutonicman]

How does a=b and then in the next line a^2=b?

 

[Mychas]

how is a^2 = b


that's silly

a= 5
b=25

a^2 = b
5^2 = 25
25 =25

 

[Glerken]

a=b

a^2=b


Huh?

how is a^2 = b


that's silly

a= 5
b=25

a^2 = b
5^2 = 25
25 =25

Yes, but in the previous line it said a=b.

 

[PizzaDentist]

plus (a-b) = 0
So by multiplying both sides by zero, anything is equal to anything else.

1 x 0 = 1000000 x 0

Therefore, one equals a million?

 

[Nimbus]

how is a^2 = b


that's silly

What if a and b = 1 or 0? That'd work.

 

[sms_117b]

This is an interesting string of equations that my friend came up with during school today, claiming that he "broke math". I don't really understand it but here it is anyway:

a = b

a x a = b x a Multiply both sides by a

a^2 - b^2 = a x b - b^2 subtract b^2 from both sides

(a - b) x (a + b)= b x (a - b) Expand to brackets

a + b = b divide by (a - b)

2a = a as a = b

So what do you guys think? Does this make sense to you, or is my friend just an idiot?

Just corrected it a little, yes maths is broken!

 

[MasterStratus]

No, he did not break maths. a=b and a^2=b? That doesn't make sense.

 

[Dudemeister]

How could a=b when a^=b ?

 

[PizzaDentist]

how is a^2 = b


that's silly

a= 5
b=25

a^2 = b
5^2 = 25
25 =25

might be true when a=5, but beyond that?

 

[josh797]

plus (a-b) = 0
So by multiplying both sides by zero, anything is equal to anything else.

1 x 0 = 1000000 x 0

Therefore, one equals a million?

no cuz you cant divide by zero so it doesnt cancel. also if a=b a^2=/=b excepting 1 and 0 and those hold up in the solution i.e. 2*0=0 and hmmm what about 1?

 

[Avida]

You dont even have to look at the equations - Your friend said he broke math, hes an idiot.

Edit : also, CAN a=2a is a better question - a is a variable.

 

[Danny Ocean]

a=b

a^2=b

No.

Far greater minds have tried and few have succeeded at breaking maths, so your friend is off his rocker thinking he stood a chance!

 

[RetiarySword]

This is an interesting string of equations that my friend came up with during school today, claiming that he "broke math". I don't really understand it but here it is anyway:

a=b

a^2=b^2.... [ Sorry I made a mistake copying it down, I believe this fixes it?]

a^2-b^2=ab-b^2

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

a+b= a

2a=a

So what do you guys think? Does this make sense to you, or is my friend just an idiot?

EDIT: I personally think its a load of bull, but I am by no means a mathematician.

It still is a stupid equation, and would only work if a and b were both 0.

Your friend didn't break maths, he just screwed up.

 

[Cpt. Red]

Stop dividing by zero...

EDIT:

(a-b)(a+b)=b(a-b)
(a-b)=0
So you cant go from that to this
a+b= a