Simplify the following:

bobbym · 2014-09-15 19:12:40

I would do it like this:

EbenezerSon · 2014-09-16 01:15:49

3x^2x+4 - 3x ^x+2 = 0
With this, how would you have solved it if you don't want to move 3x^x+2 to the RHS?

bobbym · 2014-09-16 01:19:51

You mean if you did not want to equate coefficients?

EbenezerSon · 2014-09-16 02:08:02

Couldn't you have removed the 3's without moving 3^x+2 to the RHS?

bobbym · 2014-09-16 02:10:15

You could have used the quadratic idea.

EbenezerSon · 2014-09-16 02:20:40

Quadratic idea? I see.
See what I mean;

3^2x+4 - 3^x+2 = 0

When you were solving you moved 3^x+2 to the RHS, and I am saying, in case you did not want to move 3^x+2 to the RHS how would you have equated the exponents?

Last edited by EbenezerSon (2014-09-16 02:24:09)

bobbym · 2014-09-16 04:26:56

That I do not know.

anonimnystefy · 2014-09-16 04:30:26

Why do you not want to move it?

EbenezerSon · 2014-09-16 10:53:46

anonimnystefy wrote:

Why do you not want to move it?

Co's I have solved similar problems which I did not move any to RHS and then went on to solve the exponents after I have gotten rid of the bases

Last edited by EbenezerSon (2014-09-16 10:54:46)

anonimnystefy · 2014-09-16 11:17:08

I don't think that is possible here.

Have an example?

bobbym · 2014-09-16 11:25:01

Either way it is not difficult to move it to the otherside.

You can also solve as a quadratic like before.

EbenezerSon · 2014-09-17 04:56:21

anonimnystefy wrote:

Have an example?

The examples are not in the book I am using currently, but I will search for that particular book and then show you those examples.
Thanks Anonym

EbenezerSon · 2014-09-17 05:03:13

Thank you Bobbym!

Please these are confusing me;

(1)(x - m/g - f)^2
are the above the same as;

(2)x^2 - m^2/g^2- f^2

Please, confirm

Last edited by EbenezerSon (2014-09-18 01:35:47)

bobbym · 2014-09-17 06:50:34

Is this what the problem is?

EbenezerSon · 2014-09-18 01:46:44

Regarding #1 the 'x' minus 'm' are all on one plateform, and the 'g' minus 'f' are the denominator

With respect to #2 the 'x' is squared and the 'm' is also squared a minus sign is in between, and are on one plateform which is over 'g' squared minus 'f' squared.

And my question is, are both #1 and #2 the same expression?

Last edited by EbenezerSon (2014-09-18 01:48:07)

bobbym · 2014-09-18 03:14:03

Hi;

I hope you are not saying

EbenezerSon · 2014-09-18 05:23:21

Yes, that is it!

And are they the same expression?

bobbym · 2014-09-18 05:57:23

They are not and you can prove that by choosing two arbitrary numbers and substituting.

EbenezerSon · 2014-09-18 08:46:09

I was thinking they're the same, because according to the laws of exponents (ab)^2 is the same as (a^2^b2)
Is evident that the square(2) is multiplied to the variables. What do you say?

bobbym · 2014-09-18 09:22:16

But (a + b)^2 does not equal (a^2 + b^2)

EbenezerSon · 2014-09-18 09:47:54

I see the difference now!

Thank you!

EbenezerSon · 2014-09-18 10:01:13

Is 27^(n+2) the same as 9^(n+2) 3^(n+2)?, If so I tried multiplying the latter expression back, but didn't get the former.

Please help with these.
Thank you

Last edited by EbenezerSon (2014-09-18 11:09:31)

bobbym · 2014-09-18 12:54:40

Hi;

Yes, that is true.

EbenezerSon · 2014-09-18 22:11:54

Please have you tried multiplying 9^(n+2) 3^(n+2) back to get 27^(n+2)? And was it possible for you?

Last edited by EbenezerSon (2014-09-18 22:13:00)

bobbym · 2014-09-19 01:01:52

First change it so they are all powers of 3.

Math Is Fun Forum

#551 2014-09-15 19:12:40

Re: Simplify the following:

#552 2014-09-16 01:15:49

Re: Simplify the following:

#553 2014-09-16 01:19:51

Re: Simplify the following:

#554 2014-09-16 02:08:02

Re: Simplify the following:

#555 2014-09-16 02:10:15

Re: Simplify the following:

#556 2014-09-16 02:20:40

Re: Simplify the following:

#557 2014-09-16 04:26:56

Re: Simplify the following:

#558 2014-09-16 04:30:26

Re: Simplify the following:

#559 2014-09-16 10:53:46

Re: Simplify the following:

#560 2014-09-16 11:17:08

Re: Simplify the following:

#561 2014-09-16 11:25:01

Re: Simplify the following:

#562 2014-09-17 04:56:21

Re: Simplify the following:

#563 2014-09-17 05:03:13

Re: Simplify the following:

#564 2014-09-17 06:50:34

Re: Simplify the following:

#565 2014-09-18 01:46:44

Re: Simplify the following:

#566 2014-09-18 03:14:03

Re: Simplify the following:

#567 2014-09-18 05:23:21

Re: Simplify the following:

#568 2014-09-18 05:57:23

Re: Simplify the following:

#569 2014-09-18 08:46:09

Re: Simplify the following:

#570 2014-09-18 09:22:16

Re: Simplify the following:

#571 2014-09-18 09:47:54

Re: Simplify the following:

#572 2014-09-18 10:01:13

Re: Simplify the following:

#573 2014-09-18 12:54:40

Re: Simplify the following:

#574 2014-09-18 22:11:54

Re: Simplify the following:

#575 2014-09-19 01:01:52

Re: Simplify the following:

Board footer