anonymous
  • anonymous
What is the solution of the equation? 2 5^square root (x+6)^3+3=19
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
not so easy to read this one \[25\sqrt{x+6}^3+3=19\]?
anonymous
  • anonymous
\[2 \sqrt[5]{(x+6)^{3}} +3 =19\]
misty1212
  • misty1212
HI!!

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misty1212
  • misty1212
fifth root right?
anonymous
  • anonymous
2^5 sqrt((x+6)^3) + 3 = 19 32 sqrt ((x+6)^3) = 16 sqrt ((x+6)^3) = 0.5 (x+6)^3 = 0.25 x+6 = 0.6299605249 x = -5.3700394751 The answer is nothing.
misty1212
  • misty1212
first subtract 3 from both sides
anonymous
  • anonymous
@satellite73
anonymous
  • anonymous
what @misty1212 said, subtract 3 as a first step what do you get?
anonymous
  • anonymous
Answer choices are A.26 C.14 D.2
anonymous
  • anonymous
A
anonymous
  • anonymous
yeah yeah we can get the answer subtract 3 and get \[2\sqrt[5]{x+6}=16\] then divide both sides by \(2\)
anonymous
  • anonymous
Subtract from 19 or from the whole equation itself?
anonymous
  • anonymous
from both sides your goal is to get \(\sqrt[5]{x+6}\) by itself
anonymous
  • anonymous
16/2=8
anonymous
  • anonymous
just like if you were solving \[2x+3=19\] for \(x\) you would a) subtract 3 then b) divide by 2
anonymous
  • anonymous
idk how to divide the other side
anonymous
  • anonymous
right
anonymous
  • anonymous
you have it \[\sqrt[5]{x+6}^3=8\]
anonymous
  • anonymous
now to get \(x\)
anonymous
  • anonymous
I just dont know what to do with the left side lol
anonymous
  • anonymous
I appreciate you taking your time to help me btw
anonymous
  • anonymous
lets start with \[\sqrt[5]{(x+6})^3=8\]
anonymous
  • anonymous
getting there was the first two steps, you good til here (yw btw)
anonymous
  • anonymous
\[\sqrt[5]{(x+6})^{\color{red}3}=8\] lets get rid of that \(\color{red}3\) next it is an exponent, so to get rid of it, take the cubed root of both sides you know what the cubed root of 8 is?
anonymous
  • anonymous
I have no clue
anonymous
  • anonymous
think of a number that, when you multiply it by itself 3 times, you get 8 just guess, you have very few choices if you get it wrong, i will tell you
anonymous
  • anonymous
2
anonymous
  • anonymous
right!
anonymous
  • anonymous
so taking the cubed root of both sides gets rid of that exponent of 3 on the left and \[\sqrt[5]{(x+6)^3}=8\] becomes \[\sqrt[5]{x+6}=2\]
anonymous
  • anonymous
now we have to get rid of the index of 5, which we do by raising both sides to the power of 5 what is \(2^5\)?
anonymous
  • anonymous
you can back solve it
anonymous
  • anonymous
i didn't lose you there did it?
anonymous
  • anonymous
Sorry catching up my computer froze
anonymous
  • anonymous
yeah it does that
anonymous
  • anonymous
os i mean
anonymous
  • anonymous
just put all the options one by one in the question and one option will satisfy the equation
anonymous
  • anonymous
raisiing both sides to the power of 5 gives \[x+6=2^5\] or \[x+6=32\]
anonymous
  • anonymous
32
anonymous
  • anonymous
right
anonymous
  • anonymous
now subtract 6 from both sides and you are done
anonymous
  • anonymous
32-6
anonymous
  • anonymous
yup
anonymous
  • anonymous
26
anonymous
  • anonymous
yes
anonymous
  • anonymous
Wow thank you, I would have never figured that out without you breaking it down
anonymous
  • anonymous
you are quite welcome
anonymous
  • anonymous
I gave you a medal, well deserved
anonymous
  • anonymous
I was right the answer is 26
anonymous
  • anonymous
You were right, but you just gave the answer instead of explaining lol that wont help me on a test
anonymous
  • anonymous
i prefer quick learning
anonymous
  • anonymous
as like in mcq's u have to save time....not to write papers for one question only

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