document.write( "Question 314670: (x + 2)^2/3 + 3(x + 2)^1/3 - 10 = 0 \n" ); document.write( "

Algebra.Com's Answer #225030 by Fombitz(32388) $\"\"$ $\"About$

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Substitute first.
\n" ); document.write( "Let $\"u=%28x%2B2%29%5E%281%2F3%29\"$ , then
\n" ); document.write( " $\"u%5E2=%28x%2B2%29%5E%282%2F3%29\"$
\n" ); document.write( " $\"%28x%2B2%29%5E%282%2F3%29%2B3%28x%2B2%29%5E%281%2F3%29-10=0\"$
\n" ); document.write( " $\"u%5E2%2B3u-10=0\"$
\n" ); document.write( " $\"%28u%2B5%29%28u-2%29=0\"$
\n" ); document.write( "Two \"u\" solutions:
\n" ); document.write( " $\"u%2B5=0\"$
\n" ); document.write( " $\"u=-5\"$
\n" ); document.write( " $\"%28x%2B2%29%5E%281%2F3%29=-5\"$
\n" ); document.write( " $\"x%2B2=-125\"$
\n" ); document.write( " $\"x=-127\"$
\n" ); document.write( "Not a valid solution since (-127)^(2/3) is undefined.
\n" ); document.write( ".
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\n" ); document.write( ".
\n" ); document.write( " $\"u-2=0\"$
\n" ); document.write( " $\"u=2\"$
\n" ); document.write( " $\"%28x%2B2%29%5E%281%2F3%29=2\"$
\n" ); document.write( " $\"x%2B2=8\"$
\n" ); document.write( " $\"x=6\"$
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