Question

Please Help!!!!!!!!

Answer 1

Solve
|z-1/3|=4

a. z=13/3 or z=11/3
b. z=-13/3 or z=-11/3
c. z=13/3 or z=-13/3
d. z=13/3 or z=-11/3

Answer 2

what do u think? i think it is a

Answer 3

I don't know what it would be! How did you get A?

Answer 4

just try to guess it

Answer 5

tell me your guess

Answer 6

I really need to get this right! It's for finals! I don't know what my guess is!

Answer 7

go with a that seems resonabull but im not shur tho sorry

Answer 8

That's OK! Thanks for your help!

Answer 9

What you need?

Answer 10

I need to solve the given equation

Answer 11

Solve
|z-1/3|=4

a. z=13/3 or z=11/3
b. z=-13/3 or z=-11/3
c. z=13/3 or z=-13/3
d. z=13/3 or z=-11/3

Answer 12

I really need to get this right!

Answer 13

And soon...

Answer 14

okok

Answer 15

http://www2.sunysuffolk.edu/fultonj/MAT007%20Handouts/AnswerKey.pdf

Answer 16

That'll help!

Answer 17

OK! I'll look at it!

Answer 18

ok!

Answer 19

I can't find anything in that! :(

Answer 20

@mathmale

Answer 21

My wish for today is that I'd no longer read "I think it's A" on OpenStudy. We all have to learn how to analyze and solve the problems given.

Solve
|z-1/3|=4 This is an absolute value problem. Equivalent to |z-1/3|=4 are the two separate equations

z-1/3 = 4 and
-(z-13)=4.

So, there are two solutions.

acheek16: would you do the honors? You have first "go" at solving these equations.

Answer 22

So am I solving
z-1/3=4 and -(z-13)=4???

Answer 23

if so, that is what I am having trouble doing!!

Answer 24

Yes, that's what you're solving.

If z-13=4, you can isolate z by adding 13 to both sides of the equation.

Answer 25

z=17

Answer 26

I don't see that you've added 13 to both sides of the equation.

Answer 27

Actually, you're working with |z-1/3|=4. That's not a 13; it's a 1/3 (one-third). Start over.

Answer 28

OK! One minute

Answer 29

that was MY mistake, and I apologize for wasting your time there.

Answer 30

4.33333333333333333333

Answer 31

Looks good. You've added 1/3 to both sides. 4 1/3 is a solution, and you can prove that by substitution.

Now you'll need to solve

Answer 32

Which equation? Sorry...

Answer 33

\[-(x-\frac{ 1 }{ 3 })=4).\]

Answer 34

Distribute that - sign onto every one of the 3 terms in this equation.

Answer 35

-x+1/3=4

Answer 36

-x=4 1/3

Answer 37

x=4 1/3

Answer 38

Solve that for x.

I won't say whether this is "right" or "wrong."

You can check your results by substitution.

If you believe 4 1/3 (or 13/3) is a root, substitute that into the original equation. Is the original equation now true or false?

Answer 39

true

Answer 40

There should be two distinct roots to this problem. What's the other one?

Answer 41

the answer would be
13/3 or -13/3
because since it is the absolute value, whether or not it's equal or negative doesn't matter!!!

Answer 42

oops positive not equal

Answer 43

I got that too, but found that it's not a solution.

Try again: -(x-1/3)=4 x=?

Answer 44

4 1/3

Answer 45

or 4.33333333333333333333333

Answer 46

that's a solutiion; we agree on that. BUT...there is another, different solution. Try again.

How would you solve -(x-1/3)=4?

Answer 47

multiply both sides of that equation by -1 first.