anonymous
  • anonymous
The given equation involves a power of the variable. Find all real solutions of the equation. (If there is no real solution, enter NO REAL SOLUTION.) 3(x − 9)^2/3 = 48
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
I need help!
Loser66
  • Loser66
|dw:1378859471679:dw|
anonymous
  • anonymous
I got one of the answers, 73, how do I get the other?

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More answers

Loser66
  • Loser66
show me your work please
anonymous
  • anonymous
divide everything by 3 ((x-9)^2/3)^3/2=16 x-9= 16^3/2 x-9=64 x=73
anonymous
  • anonymous
but I need another answer also
Loser66
  • Loser66
please, I don't know what your problem is, use the draw box to write it out. it's so ambiguous on exponent problem.
Loser66
  • Loser66
no need, I got you
anonymous
  • anonymous
ok great thanks
Loser66
  • Loser66
you made mistake here. \[x-9= (16)^{\dfrac{3}{2}}=\sqrt{16^3}=\sqrt{4096}=\pm64\] therefore, the first solution is x -9 =64 \(\rightarrow \)x =73 the second one is x-9= -64 \(\rightarrow\)x = -55
anonymous
  • anonymous
Can you help me with another problem?
Loser66
  • Loser66
just post, if I can, I will
anonymous
  • anonymous
Show that the equation represents a circle by rewriting it in standard form, and find the center and radius of the circle. x^2 + y^2 −1/4x+1/4y=7/32
Loser66
  • Loser66
what is your idea?
anonymous
  • anonymous
what?
Loser66
  • Loser66
you know that it MUST be a circle, right? so, it can be rewritten as a circle form. What is it?
anonymous
  • anonymous
(x-h)^2+(y-k)^2=r^2
Loser66
  • Loser66
yup, so, your duty is make the given problem be a perfect square of x and y, how to do?
anonymous
  • anonymous
I need help with that
Loser66
  • Loser66
|dw:1378860814280:dw|
Loser66
  • Loser66
I break it out to calculate, ok? you need the form \[x^2 -2 a x +a^2~~to~get~=(x-a)^2\] the middle term you already have \(-\frac{1}{4}x \) so, how to get 2ax? 2 *\(\dfrac{1}{4*2}\)x, got this part? take time, just understand this part first. I mean I can time2 and divide it by 2 , that 's it.
Loser66
  • Loser66
|dw:1378861258635:dw|
Loser66
  • Loser66
|dw:1378861293930:dw|
Loser66
  • Loser66
|dw:1378861341759:dw|
Loser66
  • Loser66
I know, it's not easy to explain, but if you want to study, no choice for you. hehehe....
Loser66
  • Loser66
do the same with the y term. oh lala, just imitate mine, I need your work.
anonymous
  • anonymous
i am so conufsed
anonymous
  • anonymous
confused

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