document.write( "Question 820127: How do you solve this problem?
\n" ); document.write( "I think I'm carrying the cubed root out wrong or something.
\n" ); document.write( "(x+3)^3=-16 \n" ); document.write( "

Algebra.Com's Answer #493456 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28x%2B3%29%5E3=-16\"$
\n" ); document.write( "You are right in thinking to use a cube root:
\n" ); document.write( " $\"root%283%2C+%28x%2B3%29%5E3%29=root%283%2C+-16%29\"$
\n" ); document.write( "Simplifying...
\n" ); document.write( " $\"x%2B3=root%283%2C+-8%2A2%29\"$
\n" ); document.write( " $\"x%2B3=root%283%2C+-8%29%2Aroot%283%2C+2%29\"$
\n" ); document.write( " $\"x%2B3=%28-2%29%2Aroot%283%2C+2%29\"$
\n" ); document.write( "Adding -3:
\n" ); document.write( " $\"x=-3%2B%28-2%29%2Aroot%283%2C+2%29\"$
\n" ); document.write( "This is an exact expression for the solution. (Note: If we had factored out 8 earlier instead of -8 we would have $\"x=-3%2B2%2Aroot%283%2C+-2%29\"$ which is probably just as good as the earlier expression. I prefer the \"-\" outside the radical so I like the other solution better.)

\n" ); document.write( "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:
\n" ); document.write( "2^(1/3)
\n" ); document.write( "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:
\n" ); document.write( "2^0.3333333... \n" ); document.write( "

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