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#76 2013-07-22 06:44:43

EbenezerSon
Member
Registered: 2013-07-04
Posts: 473

Re: Simplify the following:

It seems that brought my mistake!


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#77 2013-07-22 06:47:51

EbenezerSon
Member
Registered: 2013-07-04
Posts: 473

Re: Simplify the following:

So, by combining them. x^2 - x + x - 1 = x^2-1. is this right Sir?


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#78 2013-07-22 06:48:51

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 90,885

Re: Simplify the following:

The order of operations goes

"Please Excuse My Dear Aunt Sally" or PEMDAS

It says parentheses first then exponentiation so

-x^0 says do the exponentiation ( raising to a power) first and then the minus sign. so it is -1.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#79 2013-07-22 06:55:13

EbenezerSon
Member
Registered: 2013-07-04
Posts: 473

Re: Simplify the following:

bobbym wrote:

The order of operations goes

"Please Excuse My Dear Aunt Sally" or PEMDAS

It says parentheses first then exponentiation so

-x^0 says do the exponentiation ( raising to a power) first and then the minus sign. so it is -1.

Please I am not grasping what you mean.


I know only one thing - that is that I know nothing

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#80 2013-07-22 07:00:12

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,885

Re: Simplify the following:

You raise a number to a power before you do anything other than a parentheses. This is called the order of operations. The ^0 goes first then the - sign.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#81 2013-07-22 07:07:15

EbenezerSon
Member
Registered: 2013-07-04
Posts: 473

Re: Simplify the following:

Errr okay. So something like. (x^2 - x + x - x^0)


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#82 2013-07-22 07:10:11

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,885

Re: Simplify the following:

Yes, that is correct but you simplify it to

x^2 -1


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#83 2013-07-22 07:21:39

EbenezerSon
Member
Registered: 2013-07-04
Posts: 473

Re: Simplify the following:

So know, please let factorise the denominator.


I know only one thing - that is that I know nothing

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#84 2013-07-22 07:37:09

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 90,885

Re: Simplify the following:

Hi;

You do the denominator the same way.

Try using FOIL.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#85 2013-07-22 07:43:55

EbenezerSon
Member
Registered: 2013-07-04
Posts: 473

Re: Simplify the following:

With the denominator I had: x^3 - 2x^2 + x.


I know only one thing - that is that I know nothing

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#86 2013-07-22 07:49:30

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,885

Re: Simplify the following:

That is correct. When you combine the numerator and the denominator you get:

but you are not done because you can simplify further.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#87 2013-07-22 08:22:44

EbenezerSon
Member
Registered: 2013-07-04
Posts: 473

Re: Simplify the following:

I must factorise the denominator, and here I go:


x^3 - 2x + x = 0

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



Therefore:

(x^2 - x)(x- 1)


Numerator looks like difference of two square. There I go:

(x - 1)(x+ 1)/(x^2 - x)(x- 1) = x + 1/x^2 - x) = x + 1/ x(x - 1) . I hope I am correct.


I know only one thing - that is that I know nothing

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#88 2013-07-22 08:28:46

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,885

Re: Simplify the following:

That is correct! Very good.

I know they are not stressing anymore but they are wrong. Please bracket it like this:

(x + 1)/ (x(x - 1))


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#89 2013-07-22 08:42:57

EbenezerSon
Member
Registered: 2013-07-04
Posts: 473

Re: Simplify the following:

Do you mean you can simplify further?.


I know only one thing - that is that I know nothing

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#90 2013-07-22 08:46:50

EbenezerSon
Member
Registered: 2013-07-04
Posts: 473

Re: Simplify the following:

Thank you very much indeed Sir!, in fact you're darling!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


I know only one thing - that is that I know nothing

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#91 2013-07-22 08:53:37

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,885

Re: Simplify the following:

You are welcome and please call me bobbym. Good night, I need rest.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#92 2013-07-22 08:54:56

EbenezerSon
Member
Registered: 2013-07-04
Posts: 473

Re: Simplify the following:

Thanks bobbym, I get you.


I know only one thing - that is that I know nothing

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#93 2013-07-23 00:21:40

EbenezerSon
Member
Registered: 2013-07-04
Posts: 473

Re: Simplify the following:

Please help me solve the following, I can solve,  but the 6 has become my headache, I can't figure out how to go about the 6.

.

b)

Please, the

has square root on it.

Thanks in advance.

Son.

Last edited by EbenezerSon (2013-07-23 00:45:00)


I know only one thing - that is that I know nothing

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#94 2013-07-23 00:57:25

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,885

Re: Simplify the following:

Hi;

Is that what you have?


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#95 2013-07-23 01:33:48

EbenezerSon
Member
Registered: 2013-07-04
Posts: 473

Re: Simplify the following:

No, the top terms are all on one platform. It was accident that I brought a space between the twenty seven and the rest.
Besides, it is 6.3^3n+3. I missed the sign for negative. I am sorry.


I know only one thing - that is that I know nothing

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#96 2013-07-23 01:36:21

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,885

Re: Simplify the following:

Is this closer?


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#97 2013-07-23 01:46:01

EbenezerSon
Member
Registered: 2013-07-04
Posts: 473

Re: Simplify the following:

between the six and the three is multiplication sign. that is only problem.


I know only one thing - that is that I know nothing

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#98 2013-07-23 01:47:31

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,885

Re: Simplify the following:

So this is the problem:


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#99 2013-07-23 01:55:38

EbenezerSon
Member
Registered: 2013-07-04
Posts: 473

Re: Simplify the following:

you have taken the negative sign after the six.


I know only one thing - that is that I know nothing

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#100 2013-07-23 01:57:23

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,885

Re: Simplify the following:

I am not following you. Can you copy the problem as it is written?


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

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