anonymous
  • anonymous
solve radical 3sq.6x-9=3
Mathematics
katieb
  • katieb
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myininaya
  • myininaya
so we have (6x-9)^(1/3)=3 correct?
myininaya
  • myininaya
to get rid of 1/3 power raise both sides to the 3rd power
myininaya
  • myininaya
6x-9=3^3

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anonymous
  • anonymous
no 3cubed 6x-9=3
myininaya
  • myininaya
?
myininaya
  • myininaya
use that equation thing below this box
anonymous
  • anonymous
3\sqrt{6x-9}=3\]
myininaya
  • myininaya
\[\sqrt{(6x-9)^3}=3\]
myininaya
  • myininaya
is that right?
anonymous
  • anonymous
3 is index instead of 3rd power
myininaya
  • myininaya
\[\sqrt[3]{6x-9}=3\]
anonymous
  • anonymous
\[3\sqrt{6x-9}=3\]
myininaya
  • myininaya
oh 3 times that okay
anonymous
  • anonymous
sorry I am new at this
myininaya
  • myininaya
its k solve for the sqrt thing first
myininaya
  • myininaya
divide both sides by 3
myininaya
  • myininaya
(6x-9)^(1/2)=1
myininaya
  • myininaya
to get rid of the sqrt square both sides
anonymous
  • anonymous
I don't get it why do we divide both sides by 3
myininaya
  • myininaya
We are trying to solve for x.
anonymous
  • anonymous
okay
myininaya
  • myininaya
first step to get x by itself is to divide by that 3 since that sqrt is being multiplied by that 3
myininaya
  • myininaya
to undo multiplication by a number you divide by it
anonymous
  • anonymous
okay
myininaya
  • myininaya
so we have 6x-9=1
anonymous
  • anonymous
okay
myininaya
  • myininaya
+9 to both sides giving 6x=10
anonymous
  • anonymous
okay
myininaya
  • myininaya
divide 6 on both sides ( remember to undo multiplication u divide)
myininaya
  • myininaya
x=10/6=5/3
myininaya
  • myininaya
Don't forget to check your work
anonymous
  • anonymous
5/3 is my answer
anonymous
  • anonymous
how do I do that
myininaya
  • myininaya
so you said x=5/3. go back to your original problem and where there is a x plug in 5/3
myininaya
  • myininaya
lets see if we get the same thing on both sides and if we do that means it is a solution
myininaya
  • myininaya
3*(6*5/3-9)^(1/2)=3(10-9)^(1/2)=3(1)^(1/2)=3*1=3 since the left side = the right side that means we have x=5/3 is a solution
anonymous
  • anonymous
okay i wrote it down thank you
myininaya
  • myininaya
no problem

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