SOLUTION: How do you solve this problem? I think I'm carrying the cubed root out wrong or something. (x+3)^3=-16

Question 820127: How do you solve this problem?
I think I'm carrying the cubed root out wrong or something.
(x+3)^3=-16
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

You are right in thinking to use a cube root:

Simplifying...

Adding -3:

This is an exact expression for the solution. (Note: If we had factored out 8 earlier instead of -8 we would have which is probably just as good as the earlier expression. I prefer the "-" outside the radical so I like the other solution better.)

P.S. If you need a decimal approximation and you don't know how to find cube roots on your calculator, then raise the 2 to the 1/3 power. If your calculator has buttons for parentheses you could enter:
2^(1/3)
If there are no parentheses buttons then use a decimal for 1/3. (Since 1/3 as a decimal has an infinitely repeated digit, 3. Use as many 3's as you can:
2^0.3333333...
RELATED QUESTIONS
the cubed root of (2x+3) + 5= 2. I was told the answer is -15, but can't figure out how (answered by Fombitz)

3cubed root y^4 * 3 cubed root 16 y^5 how do you do this... (answered by Gogonati)

x/6 - x/8 = 1 In this problem I have to solve and check for x. I tried the following:... (answered by checkley71)

A number n is multiplied by 5/8. The product is subtracted from2/3. The result is 7/12. (answered by josmiceli)

Please help me solve this equation: the quantity of x plus the square root of y..cubed... (answered by jim_thompson5910,bucky)

I already have an answer to this, but just want to make sure I did it right. The problem... (answered by Alan3354,Earlsdon)

Solve for x, check for any extraneous solutions. 2x^(3/2) -8=46 I tried solving this... (answered by Edwin McCravy,Alan3354)

Hello, I think I know how to do problems like these, but I always seem to get problems (answered by lwsshak3)

I tried to solve this equation but keep getting the wrong answer. I need to do the... (answered by jim_thompson5910)