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## #1 2013-07-23 01:02:49

EbenezerSon
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### Find the truth set of the following.

I have solved the following, but it seems impossible to factorise at some point:

3^2x+1 - 3^x+2 - 3^x+1 = 0.

The book says, x=-1 or -2
It was impossible for to factorise at some point, let alone getting the answer.

I need assistance.

Thanks.

## #2 2013-07-23 01:09:20

bob bundy
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### Re: Find the truth set of the following.

please make the expression clear with brackets

eg 3^(2x+1)   0r 3^(2x)  + 1

thanks

You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

## #3 2013-07-23 01:39:13

EbenezerSon
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### Re: Find the truth set of the following.

There is no bracket involved in it from where I copied.
It is treated under indices.
I have solved similar problem but this seems insoluble at some point.
I will solvd for you to see where I got stuck.

## #4 2013-07-23 02:02:28

EbenezerSon
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### Re: Find the truth set of the following.

Here I go.

(3^x)^2 * 3 - 3^x*3^2 - 3^x*3 +1=0

Let 3^x = M. therefore substitution.
3m^2 - 9m - 3m + 1

= 3m^2 - 12m + 1=0
factorization seem impossible here.

## #5 2013-07-23 02:15:17

bob bundy
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### Re: Find the truth set of the following.

I just wanted to be clear that the problem is:

If so then x = -1 and -2 are not solutions:

This is not zero.

Bob

You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

## #6 2013-07-23 02:17:12

bobbym

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### Re: Find the truth set of the following.

Hi;

That can not be factored. You need as Bob suggests to clean the question up.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #7 2013-07-23 02:54:57

EbenezerSon
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### Re: Find the truth set of the following.

I have solved a similar question successfuly, see.

3^2x+3 - 4(3^x+1) + 1=0

Last edited by EbenezerSon (2013-07-23 05:30:52)

## #8 2013-07-23 03:00:04

bobbym

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### Re: Find the truth set of the following.

Hi;

Please bracket that a little better.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #9 2013-07-23 03:21:06

EbenezerSon
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### Re: Find the truth set of the following.

That is how it exist in the book I am working with.

## #10 2013-07-23 03:22:38

bobbym

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### Re: Find the truth set of the following.

What does 3^2x+3 mean?

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #11 2013-07-23 03:31:15

bob bundy
Moderator

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### Re: Find the truth set of the following.

I think it is unlikely that a book would use the symbol ^

please look again at post 5

Is the equation I have put there the one in your book?

Bob

You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

## #12 2013-07-23 04:37:09

EbenezerSon
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### Re: Find the truth set of the following.

#### bobbym wrote:

What does 3^2x+3 mean?

It means the 3 has raised to the power 2x+3.

## #13 2013-07-23 04:44:58

bobbym

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### Re: Find the truth set of the following.

Hasn't he raised a good point with

#### bob bundy wrote:

I think it is unlikely that a book would use the symbol ^

I would agree, but you say it is there! But then his post #5 is correct and that is not a solution.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #14 2013-07-23 04:51:24

EbenezerSon
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### Re: Find the truth set of the following.

#### bobbym wrote:

Hasn't he raised a good point with

#### bob bundy wrote:

I think it is unlikely that a book would use the symbol ^

I would agree, but you say it is there! But then his post #5 is correct and that is not a solution.

The book did not use the symbol ^, I rather used it , because the 2x +3 is at the top of the 3 in the book.

## #15 2013-07-23 04:58:21

bobbym

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### Re: Find the truth set of the following.

Hi;

This is exactly what is in the book then?

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #16 2013-07-23 05:00:19

EbenezerSon
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### Re: Find the truth set of the following.

#### bob bundy wrote:

I just wanted to be clear that the problem is:

If so then x = -1 and -2 are not solutions:

This is not zero.

Bob

Yes that's how it is arranged, in the book.

Last edited by EbenezerSon (2013-07-23 05:03:09)

## #17 2013-07-23 05:01:28

EbenezerSon
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### Re: Find the truth set of the following.

#### bobbym wrote:

Hi;

This is exactly what is in the book then?

Yes Sir!. Positive 1 is at the end

Last edited by EbenezerSon (2013-07-23 05:03:46)

## #18 2013-07-23 05:04:42

bobbym

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### Re: Find the truth set of the following.

It is obviously some sort of typo.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #19 2013-07-23 05:09:34

EbenezerSon
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### Re: Find the truth set of the following.

#### bobbym wrote:

It is obviously some sort of typo.

The book is before me now and has positive 1 just at the end.

Last edited by EbenezerSon (2013-07-23 06:25:55)

## #20 2013-07-23 05:35:04

bobbym

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### Re: Find the truth set of the following.

It still looks like a mistake in the book. -1 and -2 are not roots of that equation.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #21 2013-07-23 05:45:58

EbenezerSon
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### Re: Find the truth set of the following.

Then please how exactly would the final answer be?

## #22 2013-07-23 05:53:41

bobbym

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### Re: Find the truth set of the following.

I could not solve that by hand. It takes a computer to solve it. The answer involves complex numbers further showing that the problem is mistyped.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #23 2013-07-23 06:53:08

EbenezerSon
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### Re: Find the truth set of the following.

Yeb I must believe you, c'os the author stated explicitly that, a student should forgive any mistake that would be found in the book. Is just at the beginning of  the book .
:-) But still you're darling!

Last edited by EbenezerSon (2013-07-23 06:53:35)

## #24 2013-07-23 06:55:23

bobbym

Online

### Re: Find the truth set of the following.

If you are marked wrong about it then you will have the consolation of knowing that I would have been marked wrong too.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #25 2013-07-23 07:50:40

bob bundy
Moderator

Online

### Re: Find the truth set of the following.

So now the question has become:

It still will not lead to those answers:

x = -1

x = -2

Closest equation with those answers that I can find:

Bob

You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei