Mathematics
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OpenStudy (anonymous):
solve radical 3sq.6x-9=3
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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
OpenStudy (anonymous):
no 3cubed 6x-9=3
myininaya (myininaya):
?
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myininaya (myininaya):
use that equation thing below this box
OpenStudy (anonymous):
3\sqrt{6x-9}=3\]
myininaya (myininaya):
\[\sqrt{(6x-9)^3}=3\]
myininaya (myininaya):
is that right?
OpenStudy (anonymous):
3 is index instead of 3rd power
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myininaya (myininaya):
\[\sqrt[3]{6x-9}=3\]
OpenStudy (anonymous):
\[3\sqrt{6x-9}=3\]
myininaya (myininaya):
oh 3 times that okay
OpenStudy (anonymous):
sorry I am new at this
myininaya (myininaya):
its k solve for the sqrt thing first
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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
OpenStudy (anonymous):
I don't get it why do we divide both sides by 3
myininaya (myininaya):
We are trying to solve for x.
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OpenStudy (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
OpenStudy (anonymous):
okay
myininaya (myininaya):
so we have 6x-9=1
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OpenStudy (anonymous):
okay
myininaya (myininaya):
+9 to both sides giving 6x=10
OpenStudy (anonymous):
okay
myininaya (myininaya):
divide 6 on both sides ( remember to undo multiplication u divide)
myininaya (myininaya):
x=10/6=5/3
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myininaya (myininaya):
Don't forget to check your work
OpenStudy (anonymous):
5/3 is my answer
OpenStudy (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
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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
OpenStudy (anonymous):
okay i wrote it down thank you
myininaya (myininaya):
no problem