anonymous
  • anonymous
Please Help!!!!!!!!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • 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
  • likeabossssssss
what do u think? i think it is a
anonymous
  • anonymous
I don't know what it would be! How did you get A?

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likeabossssssss
  • likeabossssssss
just try to guess it
likeabossssssss
  • likeabossssssss
tell me your guess
anonymous
  • anonymous
I really need to get this right! It's for finals! I don't know what my guess is!
likeabossssssss
  • likeabossssssss
go with a that seems resonabull but im not shur tho sorry
anonymous
  • anonymous
That's OK! Thanks for your help!
anonymous
  • anonymous
What you need?
anonymous
  • anonymous
I need to solve the given equation
anonymous
  • 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
  • anonymous
I really need to get this right!
anonymous
  • anonymous
And soon...
anonymous
  • anonymous
okok
anonymous
  • anonymous
http://www2.sunysuffolk.edu/fultonj/MAT007%20Handouts/AnswerKey.pdf
anonymous
  • anonymous
That'll help!
anonymous
  • anonymous
OK! I'll look at it!
anonymous
  • anonymous
ok!
anonymous
  • anonymous
I can't find anything in that! :(
anonymous
  • anonymous
@mathmale
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
  • anonymous
So am I solving z-1/3=4 and -(z-13)=4???
anonymous
  • anonymous
if so, that is what I am having trouble doing!!
mathmale
  • 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
  • anonymous
z=17
mathmale
  • mathmale
I don't see that you've added 13 to both sides of the equation.
mathmale
  • 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
  • anonymous
OK! One minute
mathmale
  • mathmale
that was MY mistake, and I apologize for wasting your time there.
anonymous
  • anonymous
4.33333333333333333333
mathmale
  • 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
  • anonymous
Which equation? Sorry...
mathmale
  • mathmale
\[-(x-\frac{ 1 }{ 3 })=4).\]
mathmale
  • mathmale
Distribute that - sign onto every one of the 3 terms in this equation.
anonymous
  • anonymous
-x+1/3=4
anonymous
  • anonymous
-x=4 1/3
anonymous
  • anonymous
x=4 1/3
mathmale
  • 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
  • anonymous
true
mathmale
  • mathmale
There should be two distinct roots to this problem. What's the other one?
anonymous
  • 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
  • anonymous
oops positive not equal
mathmale
  • mathmale
I got that too, but found that it's not a solution. Try again: -(x-1/3)=4 x=?
anonymous
  • anonymous
4 1/3
anonymous
  • anonymous
or 4.33333333333333333333333
mathmale
  • 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
  • mathmale
multiply both sides of that equation by -1 first.
anonymous
  • anonymous
|dw:1450384669690:dw|
mathmale
  • mathmale
Then (x-1/3)=-4 Please check your answer by subst. it into the original equation.
mathmale
  • mathmale
What is -11/3 - 1/3?
anonymous
  • anonymous
|dw:1450384829312:dw|
mathmale
  • mathmale
How wonderful! You've solved the problem and have two correct answers!! Congrats!
anonymous
  • anonymous
so the solution would be 13/3 and -11/3
mathmale
  • mathmale
Yes. The solutionS are 13/3 and -11/3.
anonymous
  • anonymous
Thanks for all of your help!!!!!!!!!!!!!!!
mathmale
  • mathmale
My pleasure.

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