Please Help!!!!!!!!

- anonymous

Please Help!!!!!!!!

- Stacey Warren - Expert brainly.com

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- chestercat

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- anonymous

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

- likeabossssssss

what do u think? i think it is a

- anonymous

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

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- likeabossssssss

just try to guess it

- likeabossssssss

tell me your guess

- anonymous

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

- likeabossssssss

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

- anonymous

That's OK! Thanks for your help!

- anonymous

What you need?

- anonymous

I need to solve the given equation

- anonymous

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

- anonymous

I really need to get this right!

- anonymous

And soon...

- anonymous

okok

- anonymous

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

- anonymous

That'll help!

- anonymous

OK! I'll look at it!

- anonymous

ok!

- anonymous

I can't find anything in that! :(

- anonymous

@mathmale

- mathmale

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.

- anonymous

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

- anonymous

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

- mathmale

Yes, that's what you're solving.
If z-13=4, you can isolate z by adding 13 to both sides of the equation.

- anonymous

z=17

- mathmale

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

- mathmale

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

- anonymous

OK! One minute

- mathmale

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

- anonymous

4.33333333333333333333

- mathmale

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

- anonymous

Which equation? Sorry...

- mathmale

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

- mathmale

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

- anonymous

-x+1/3=4

- anonymous

-x=4 1/3

- anonymous

x=4 1/3

- mathmale

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?

- anonymous

true

- mathmale

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

- anonymous

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!!!

- anonymous

oops positive not equal

- mathmale

I got that too, but found that it's not a solution.
Try again: -(x-1/3)=4 x=?

- anonymous

4 1/3

- anonymous

or 4.33333333333333333333333

- mathmale

that's a solutiion; we agree on that. BUT...there is another, different solution. Try again.
How would you solve -(x-1/3)=4?

- mathmale

multiply both sides of that equation by -1 first.

- anonymous

|dw:1450384669690:dw|

- mathmale

Then (x-1/3)=-4
Please check your answer by subst. it into the original equation.

- mathmale

What is -11/3 - 1/3?

- anonymous

|dw:1450384829312:dw|

- mathmale

How wonderful! You've solved the problem and have two correct answers!! Congrats!

- anonymous

so the solution would be
13/3 and -11/3

- mathmale

Yes. The solutionS are 13/3 and -11/3.

- anonymous

Thanks for all of your help!!!!!!!!!!!!!!!

- mathmale

My pleasure.

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