## anonymous 5 years ago solve radical 3sq.6x-9=3

1. myininaya

so we have (6x-9)^(1/3)=3 correct?

2. myininaya

to get rid of 1/3 power raise both sides to the 3rd power

3. myininaya

6x-9=3^3

4. anonymous

no 3cubed 6x-9=3

5. myininaya

?

6. myininaya

use that equation thing below this box

7. anonymous

3\sqrt{6x-9}=3\]

8. myininaya

$\sqrt{(6x-9)^3}=3$

9. myininaya

is that right?

10. anonymous

3 is index instead of 3rd power

11. myininaya

$\sqrt[3]{6x-9}=3$

12. anonymous

$3\sqrt{6x-9}=3$

13. myininaya

oh 3 times that okay

14. anonymous

sorry I am new at this

15. myininaya

its k solve for the sqrt thing first

16. myininaya

divide both sides by 3

17. myininaya

(6x-9)^(1/2)=1

18. myininaya

to get rid of the sqrt square both sides

19. anonymous

I don't get it why do we divide both sides by 3

20. myininaya

We are trying to solve for x.

21. anonymous

okay

22. myininaya

first step to get x by itself is to divide by that 3 since that sqrt is being multiplied by that 3

23. myininaya

to undo multiplication by a number you divide by it

24. anonymous

okay

25. myininaya

so we have 6x-9=1

26. anonymous

okay

27. myininaya

+9 to both sides giving 6x=10

28. anonymous

okay

29. myininaya

divide 6 on both sides ( remember to undo multiplication u divide)

30. myininaya

x=10/6=5/3

31. myininaya

Don't forget to check your work

32. anonymous

33. anonymous

how do I do that

34. myininaya

so you said x=5/3. go back to your original problem and where there is a x plug in 5/3

35. myininaya

lets see if we get the same thing on both sides and if we do that means it is a solution

36. 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

37. anonymous

okay i wrote it down thank you

38. myininaya

no problem