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Re: 2 = 1

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whyOmustOitObeOme is not online. whyOmustOitObeOme
Joined: 29 Aug 2009
Total Posts: 15668
23 Apr 2016 09:39 PM
Step 1: Let a = b.

Step 2: Multiply a to each side.
a^2 = ab

Step 3: Add a^2 to each side.
a^2 + a^2 = a^2 + ab

Step 4: Simplify like terms.
2a^2 = a^2 + ab

Step 5: Subtract 2ab from each side.
2a^2 - 2ab = a^2 + ab - 2ab

Step 6: Simplify like terms.
2a^2 - 2ab = a^2 - ab

Step 7: Simplify.
2(a^2 - ab) = 1(a^2 - ab)

Step 8: Divide both sides by (a^2 - ab)
2 = 1
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LimitedSalad is not online. LimitedSalad
Joined: 11 Jul 2013
Total Posts: 2279
23 Apr 2016 09:42 PM
Where did a squared come from
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whyOmustOitObeOme is not online. whyOmustOitObeOme
Joined: 29 Aug 2009
Total Posts: 15668
23 Apr 2016 09:43 PM
@limited

a * a = a * b
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LimitedSalad is not online. LimitedSalad
Joined: 11 Jul 2013
Total Posts: 2279
23 Apr 2016 09:44 PM
Nevermind
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Redesigning is not online. Redesigning
Joined: 09 Mar 2014
Total Posts: 20083
23 Apr 2016 09:45 PM
See problems like these are the reasons why I fail math classes.



inb4mods
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LimitedSalad is not online. LimitedSalad
Joined: 11 Jul 2013
Total Posts: 2279
23 Apr 2016 09:46 PM
You would distribute the one and two, not divide them.
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whyOmustOitObeOme is not online. whyOmustOitObeOme
Joined: 29 Aug 2009
Total Posts: 15668
23 Apr 2016 09:54 PM
@Limited

The 1 and the 2 are never divided.
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garbagetrucker is not online. garbagetrucker
Joined: 23 Apr 2016
Total Posts: 86
23 Apr 2016 09:55 PM
or you could just do
2-1 right
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redsnuffet is not online. redsnuffet
Joined: 20 Oct 2008
Total Posts: 4112
23 Apr 2016 09:56 PM
that wouldnt be right tho
if 2 = 1 then the equation is unsolvable


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LimitedSalad is not online. LimitedSalad
Joined: 11 Jul 2013
Total Posts: 2279
23 Apr 2016 09:56 PM
You divided (a^2 - ab), I know how to math ok
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LimitedSalad is not online. LimitedSalad
Joined: 11 Jul 2013
Total Posts: 2279
23 Apr 2016 09:59 PM
Plus if the variable a equaled the variable b, that is a statement. We are not given any other information in the problem
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scienceexpertALT2 is not online. scienceexpertALT2
Joined: 02 Mar 2016
Total Posts: 913
23 Apr 2016 10:01 PM
2 can't equal 1.
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whyOmustOitObeOme is not online. whyOmustOitObeOme
Joined: 29 Aug 2009
Total Posts: 15668
23 Apr 2016 10:03 PM
@Limited

You can do algebra with any statement whatsoever. You may not know what a and b equal, but 2a^2 - 2ab = a^2 + ab - 2ab is as true as a = b. In the original post I did some steps of algebra that suggested 2 = 1. Can you find what went wrong?
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whyOmustOitObeOme is not online. whyOmustOitObeOme
Joined: 29 Aug 2009
Total Posts: 15668
23 Apr 2016 10:07 PM
@science

Obviously 2 can't equal 1, but what went wrong in the steps to get there?
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whyOmustOitObeOme is not online. whyOmustOitObeOme
Joined: 29 Aug 2009
Total Posts: 15668
23 Apr 2016 10:10 PM
So far no one has figured out what went wrong...
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LimitedSalad is not online. LimitedSalad
Joined: 11 Jul 2013
Total Posts: 2279
23 Apr 2016 10:12 PM
I told you, you didn't distribute the 2 and 1.

2(a^2 - ab)= 1(a^2 - ab) distributive prop.
2a^2 - 2ab = a^2 - ab Now subtract a^2
a^2 - 2ab = - ab Now add ab
a^2 - ab = 0 Now add ab again
a^2 = ab Now take the square root of both sides

And it just gets you back to a = b, you need something to take the place of A or B to make it a problem
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redsnuffet is not online. redsnuffet
Joined: 20 Oct 2008
Total Posts: 4112
23 Apr 2016 10:15 PM
wait so like for step 7 don't you use the distributive property


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whyOmustOitObeOme is not online. whyOmustOitObeOme
Joined: 29 Aug 2009
Total Posts: 15668
23 Apr 2016 10:15 PM
@Limited

Okay... try and forget going backwards in steps for a moment. Think what you get when you divide (a^2 - ab) to both side of 2(a^2 - ab)= 1(a^2 - ab). Algebraically, it's perfectly valid. But it gives you 2 = 1, why is that?
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LimitedSalad is not online. LimitedSalad
Joined: 11 Jul 2013
Total Posts: 2279
23 Apr 2016 10:19 PM
Listen here, algebra does not work like that. It is not valid. You are and will be wrong. There are so many sites that claim that they found it but are debunked. I hope you get some tutoring soon, you are a bit confused.
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whyOmustOitObeOme is not online. whyOmustOitObeOme
Joined: 29 Aug 2009
Total Posts: 15668
23 Apr 2016 10:20 PM
I may as well give the answer now.

The problem is at step 8: dividing both sides by (a^2 - ab).

a^2 - ab can be simplified to a - b, and since a = b, a - b is zero.

We are dividing by 0 at step 8.
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whyOmustOitObeOme is not online. whyOmustOitObeOme
Joined: 29 Aug 2009
Total Posts: 15668
23 Apr 2016 10:21 PM
@Limited

You sound frustrated. Maybe you should stick to your "solve for x" homework problems before leaping into more advanced problems like this.
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Height is not online. Height
Joined: 17 Oct 2009
Total Posts: 5114
23 Apr 2016 10:30 PM
u cant divide by 0 this is old tbh we even did this in my calc class
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LimitedSalad is not online. LimitedSalad
Joined: 11 Jul 2013
Total Posts: 2279
23 Apr 2016 10:31 PM
How clear do I have to be? Do you not know how the distributive property works?
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Fratagonia is not online. Fratagonia
Joined: 05 Oct 2008
Total Posts: 48047
23 Apr 2016 10:33 PM
AP CALC AB EXAM IS LESS THAN TWO WEEKS FROM NOW HELP
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Height is not online. Height
Joined: 17 Oct 2009
Total Posts: 5114
23 Apr 2016 10:33 PM
limited shut up
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