Question

How do you solve these equations they don’t show me in my book. Once I know how to solve these I can solve the others.
(X-81)/(x-3)
(X5+y5)/(x+y)
(a3+6a2+12a+8)/ (a+2)
(5a3+8a2-23a-1)/ (5a2-7a-2)

Answer 1

first one...(X-81)/(x-3)=0
x=81, 3

Answer 2

oh there was a divide sign !!!!!!! errrrrrrr

Answer 3

lets do it again

Answer 4

(x-9)(x+9)/x-3)
(x-3)(x+3)(x+9) /(x-3)
(x+3)(x+9)

Answer 5

ok now third one...

Answer 6

(a3+6a2+12a+8)/ (a+2)
(a+2)(a2+4a+4)/(a+2)
(a+2)^2

Answer 7

now fourth one..

Answer 8

I think I might have asked the question wrong because and I am confusing you. They want the answer to look something like this (x2 -6x +9)/ (x-3) = (x-3)

Answer 9

I've done the same too

Answer 10

not to doubt you but if you doing the same thing give the answer to (x2 +8x-16)/(x+4)

Answer 11

your question is wrong ..it should have been (x2 +8x+16)/(x+4)= (x+4)

Answer 12

the answer (x+4) is what I was look for

Answer 13

thats what I had to solve for

Answer 14

happy now??

Answer 15

noo ( again not trying to doubt your abilities) what I was checking was if your answers would look like mine. Now that I see they are what I am asking you to do is tell me the answer to the equations, because I can't see the answers your trying to give.

Answer 16

Do u want me to do any other ques?

Answer 17

sure

Answer 18

which one ?

Answer 19

I'm haveing alot of trouble with these types of questions (X5+y5)/(x+y)

Answer 20

okay..do u know long division method ???

Answer 21

yes

Answer 22

i feel u can get this one done by that..

Answer 23

I've tried but the answer keeps coming up wrong

Answer 24

'keeps coming' means u have tried more than once... haven't u ???

Answer 25

yes, but I get messed up in all the variables

Answer 26

i m going to do it on paper...I'll write the answer here...lets see what we going to get...

Answer 27

okay

Answer 28

x4-x3y+x2y2-xy3+y3

Answer 29

is that what u got?

Answer 30

no, so how did you get there

Answer 31

Oldnick, are the X and x the same variable

Answer 32

ahhh !!! made a lil mistake in the end...ig guess

Answer 33

no ...i think i was right...@radar whats ur thoughts??

Answer 34

@radar: yes

Answer 35

@ankur504: how did you get to your answer?

Answer 36

long division

Answer 37

Is this the problem as written in your text or worksheet?

Answer 38

@ankur504: yeah I now that give me the proses you used.

Answer 39

I dont know how to type that method here...sorry

Answer 40

\[(x ^{5}+y ^{5})/(x+y)\]

Answer 41

@ankur504: use the equation tool bar

Answer 42

wait a min..

Answer 43

@radar: the first variable looks wrong

Answer 44

do you mean it is not x^5???

Answer 45

Please restate the problem

Answer 46

look at this pic..i havent done the full problem but thats enough to give u an idea

Answer 47

@radar and @oldnick..what u have to say

Answer 48

@ankur504: I can't really see what your doing

Answer 49

i m exhausted...sry ...thats all I could do...my bad (

Answer 50

so whats our equation that we are longjohning?

Answer 51

\[(x+y)(x ^{4}-yx ^{3}+y ^{2}x ^{2}-y ^{3}x+y ^{4})\]

Answer 52

(X5+y5)/(x+y)

Answer 53

amistre64 we are trying to do (x^5+y^5/(x+Y)

Answer 54

@amistre: could you please have a look at the picture which I've uploaded top see if I m correct or not?

Answer 55

pic looks good, from what I can read :)

Answer 56

I think I put the factors up there the (x+y) would cancel and leave the (x^4..............y^4)

Answer 57

x^4 -x^3 y
---------------------
x+y | x^5 + y^5
-x^5 -x^4 y
---------------
-x^4 y +y^5
+x^4y +x^3 y^2
-----------------
+x^3 y^2 +y^5

and it keeps going till you get no x values to plug into it

Answer 58

@amistre64: I can't understand what you did there.

Answer 59

its just long division.... the same way you do numbers....but with xs and ys

Answer 60

les try 27/5

we want a number that is less than but close to 5*x = 27 lets use 5


5. <- when we multiply this to the 5 we "subtract" it from the 27
------
5 | 27.00000
- 25 <- 5*5 = 25....but!! 27-25 is what we want for an answer
-----
20 <- this is whats left over and drop down the next "number"

Answer 61

oldnick, i suggest you factor the (x^5+y^5) first using the rule \[x ^{n}+y ^{n}\] when n is odd. n is 5 so it is odd.

Answer 62

thats the problem is that the book gives an example on how to do the equation with (x3 +1)/(x+1). but not with only variables, so I don't now what to do with variables and large numbers.

Answer 63

5.4
------
5 | 27.00000
- 25
-----
20 <- now we want a number that is 5*x = 20, use 4 :)
-20 <- 5*4 = 20...but!! we want 20 - 20 for an answer..
-------
0

Answer 64

@radar: whats the xn+yn rule

Answer 65

the variables that cancel go away...and you add the ones that are alike and bring down the ones that arent....

Answer 66

\[(x+y)(x ^{n-1)}-yx ^{n-2}+a ^{2}x ^{n-3}-...+y ^{n-1})\] you can use this then as you see the x+y divides into the x=y giving 1 and you have the long one left which is the answer4

Answer 67

(x) * ? is close to x^5. lets use x^4

(x+y)x^4 = x^5 + x^4 y so we subtract that to get a new round

-(x^5 +x^4 y) = -x^5 -x^4 y

x^4
---------------------
x+y | x^5 + y^5
-x^5 -x^4 y <- we subtract it
---------------
0 -x^4 y +y^5 <- the x^5 goes to zero and the only things
left that didnt subtract to zero is brought
down and worked again

Answer 68

Corrections; change a to a y. remember in this case n=5

Answer 69

(x) * ? is close to -x^4 y. lets use -x^3 y

(x+y)-x^3 y = -x^4 y -x^3 y^2 so we subtract that to get a new round

-(-x^4 y -x^3 y^2) = x^4 y +x^3 y^2

x^4 -x^3 y
---------------------
x+y | x^5 + y^5
-x^5 -x^4 y
---------------
-x^4 y +y^5
x^4 y +x^3 y^2 <- subtract it
-----------------
0 + x^3 y^2 +y^5 <-whats left that didnt subtract
to zero is brought down and
worked again

Answer 70

thats the easiest way I know to explain it...

Answer 71

on a keyboard that is :)

Answer 72

The keyboard does provide limitation

Answer 73

I'm not sure if this will help but this is what they want me to do.

Answer 74

and that is exactly what I showed you ;)

Answer 75

Then the amistre64 method (long division) is the way to go

Answer 76

heres the problem what you showed me I can't understand

Answer 77

x^5 + y^5 is the same as:

x^5 +0x^4y +0x^3 y^2+0x^2 y^3+0x y^4+y^5 if you expand it out...

Answer 78

right I understand that

Answer 79

that is just impractical on the keyboard to try to use...

Answer 80

so instead of using all those 0 place holders... ignore them.

Answer 81

add together your like terms...and drop the rest down

Answer 82

okay

Answer 83

but there are no like terms

Answer 84

x^5 +0x^4 y + ............+ y^5
-x^5 -x^4 y
---------------
-x^4 y + ............. +y^5 right?

Answer 85

thats where you loss me

Answer 86

I just included the "like term" for you to see that its just a place holder

Answer 87

The sum of equal powers can be factored. different rules for even vs odd powers. Not really different rules, just different patterns.

Answer 88

y^5
-x^4 y
-------
-x^4 y + y^5 thats all there is to it....

Answer 89

whatever doesn subtract from each other...carries on down ....... do you see that?

Answer 90

like terms dont combine...so both terms drop down as they are..

Answer 91

what do the ------ stand for?

Answer 92

unlike terms dont combine is what it should read... my fingers got lazy on me :)

Answer 93

thats an equals bar underneath the terms to be added.

4
+5
----
9

Answer 94

we can add across like this: 4+5 = 9

or we can add up and down like this:

4
+5
----
9

Answer 95

when we do long division; we add/subtract in the vertical way.... keeps everything tidy

Answer 96

yes?no? makes sense? doesnt? i need to hear from you...