document.write( "Question 419413: I have to sole the equation. Then check for extraneous solutions.
\n" ); document.write( " 1.) (2x+1)^1/3 = 8^1/3
\n" ); document.write( "Please help...
\n" ); document.write( "

Algebra.Com's Answer #293316 by MathLover1(20855)\"\" \"About 
You can put this solution on YOUR website!
\"%282x%2B1%29%5E1%2F3=8%5E1%2F3\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"1%2F%28root%283%2C%282x%2B1%29%29%29=1%2Froot%283%2C8%29\".....since nominator are equal, then\r
\n" ); document.write( "\n" ); document.write( " denominators must be equal too\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28root%283%2C%282x%2B1%29%29%29=root%283%2C8%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Raise both sides to the power \"3\",\r
\n" ); document.write( "\n" ); document.write( "=>\"+2x+%2B1=+8\"\r
\n" ); document.write( "\n" ); document.write( "=> \"2x++=+8-1\"\r
\n" ); document.write( "\n" ); document.write( "=> \"2x++=+7\"\r
\n" ); document.write( "\n" ); document.write( "=> \"x++=+7%2F2\"\r
\n" ); document.write( "\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( "\"%282%287%2F2%29%2B1%29%5E%281%2F3%29=8%5E%281%2F3%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"1%2F%28root%283%2C%282%287%2F2%29%2B1%29%29%29=1%2Froot%283%2C8%29\"...Raising both sides to the power 3\r
\n" ); document.write( "\n" ); document.write( "\"1%2F2%287%2F2%29%2B1=1%2F8\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"2%287%2F2%29%2B1=8\"\r
\n" ); document.write( "\n" ); document.write( "\"7%2B1=8\"\r
\n" ); document.write( "\n" ); document.write( "\"8=8\"
\n" ); document.write( "
\n" ); document.write( "
\n" );