Question

(x+1)/(x-1)=-4/(x+3)+8/(x^2+2x-3)

Answer 1

What is the assignment question?

Answer 2

That's it, I have to solve for x out of that

Answer 3

That's what i was looking for the "solve for x" part

Answer 4

Oh, sorry! Would you know how to explain it for me?

Answer 5

Let me see how i can break it down first

Answer 6

Thanks!

Answer 7

Before i start, i wanted to know if this is exactly what you typed up there?

\[\frac{ (x+1) }{ (x-1) }=\frac{ -4 }{ (x+3) }+\frac{ 8 }{ (x^2+2x-3) }\]

Answer 8

Yes, that's it

Answer 9

Ok first thing is first look at the denominator and you see (x-1), (x+3) and x^2+2x-3

well all the fractional expressions must have the same denominator x^2+2x-3

x^2+2x-3 is broken down to (x-1)(x+3)

you understand this part so far?

Answer 10

yes, I just don't know what to do with the numerators in order to begin solving for x

Answer 11

I'm getting there, i just want you too understand it completely so you aren't lost within my explanation

Answer 12

Now you have to multiply the numerator and denominator of the fractional expressions that aren't in x^2+2x-3 or (x+3)(x-1) form.
So on the left hand side you multiply the top and bottom by (x+3) and on the right hand side you multiply the top and bottom by (x-1), but only for the 1st expression

the other already has (x+3)(x-1) so you leave it blank

This is what it would now look like:

\[(x+3)(x+1)=-4(x-1)+8\]

Answer 13

\[(x+3)(x+1)=-4(x-1)+8 \rightarrow x^2+4x+3=-4x+4+8\]

Answer 14

I will simplify it until the expression is set equal to zero

\[x^2+4x+3+4x-12=0 \rightarrow x^2+8x-9=0\]

Now that you have anew polynomial you have too factor it

can you factor it?

Answer 15

before I do, I have gotten down to x^2 +8x-9=0
is that correct?

Answer 16

yes!

Answer 17

(x+9)(x-1)=0 ?

Answer 18

yes!!!

now get the two solutions of x

Answer 19

they are -9 & 1 , but when I put them into the system, they tell me that there is only one answer and it is non extraneous

Answer 20

yes that is correct. You plug in the solutions of x into the equation separately and see one that comes out with a non-extraneous answer

Answer 21

Oh, okay! Ill do that now. Sorry if im holding you up

Answer 22

No don't worry, i am relaxing from school

Answer 23

It would be the -9, right?

Answer 24

sqrt{t - 62} - sqrt{t+160} = 140

would you also be able to help me solve this for t?

Answer 25

Yes it yes it is!!!

Sure no problem

Answer 26

no solution exists for this problem

You can tell that is true by squaring both sides and you know what happens when you square a square root, right?

Answer 27

right, and I also know that it is extraneous.. but im not sure what to put into the system. I tried no solution and it said that it wasn't acccepted

Answer 28

What program or website are you trying to put the answer into?

Answer 29

webwork

Answer 30

if it's not too much to ask can you take a screen shot and post it on here?

Answer 31

Im not able to because im on my universitys desktop, sorry. I have four other problems, would you like me to skip it and if you don't mind you could help me with a different one?

Answer 32

there should probably be a DNE (does not exist) selection as an answer but idk how many attempts you are allowed so let's go on too the next one

Answer 33

(10/8-t)+(2/8+t)+(7/64+t^2)=0

Answer 34

Are there possible answer sets to this problem because this one is a bit tricky?

i want to see if i am right or wrong?

Answer 35

no, the only other thing on the screen is solve for t

Answer 36

i'm not sure but try t = -11.684

Answer 37

it says incorrcect

Answer 38

this problem is very long too answer step by step

Answer 39

is there any other possible answer for it?

Answer 40

the others are complex or imaginary numbers.

Answer 41

have you worked with imaginary numbers in your class?

Answer 42

yes

Answer 43

ok put in \[\pm0.2793-8.3933i\]

Answer 44

it still says incorrect

Answer 45

how about sqrt(4x+5) +7=3x

Answer 46

it says find all possible solutions.

Answer 47

hmm idk why it's not working but usually online problems should have example problems for each problem you do so you can check how they want the answer to be inputted

ok hold on

Answer 48

x should equal \[\frac{ 1 }{ 9 }(23+\sqrt{133}\]
or x equals 3.8370

Answer 49

both answers are the same but in different format

Answer 50

but it asks for the highest and lowest possible solution, and then asks if it is a real solution..

Answer 51

ahh ignore that i did a mistake somewhere the values should be 2.6818, -2.2373

Answer 52

That should definitely be correct

Answer 53

are they both solutions?

Answer 54

both should be solutions but i didn't plug them back in the original equation

Answer 55

did you get them as fractions?

Answer 56

Are they asking for the solutions in fraction form?

Answer 57

I think so because it isn't taking the decimals that you gave me

Answer 58

oh never mind, I got it to work sorry. Are you still up for another?

Answer 59

none of them are solutions to the expression

Answer 60

it's all good and yes i am

Answer 61

sqrt (10-x) +x = -2

Answer 62

it says solve for x, it could be an integer or fraction

Answer 63

if x needs to solve for the equation and make it true then x = -6

Answer 64

that's it!!

1/abs(12-4x) = 10

Answer 65

x = \[\frac{ 119 }{ 40 }\]
x = \[\frac{ 121 }{ 40 }\]

Answer 66

Thankyou! You just helped me SOO much!!!!!!

Answer 67

No problem at all!