document.write( "Question 754077: Solve for x
\n" ); document.write( "a) x^(2/3) -x^(1/3) - 2 = 0 \r
\n" ); document.write( "\n" ); document.write( "Can you please help me out? Thanks so much in advance:)
\n" ); document.write( "Can you also please show me the steps it would help me understand better:)
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Algebra.Com's Answer #458904 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Solve for x
\n" ); document.write( "a) \"x%5E%282%2F3%29+-x%5E%281%2F3%29+-+2+=+0\"
\n" ); document.write( "This can be factored just like a normal quadratic equation
\n" ); document.write( "\"%28x%5E%281%2F3%29-2%29%28x%5E%281%2F3%29%2B1%29\" = 0; FOIL this & you can prove it to yourself
\n" ); document.write( "Two solutions
\n" ); document.write( "\"x%5E%281%2F3%29\" = 2
\n" ); document.write( "Cube both sides and you have
\n" ); document.write( "x = 8
\n" ); document.write( "and
\n" ); document.write( "\"x%5E%281%2F3%29\" = -1
\n" ); document.write( "cube both sides and you have:
\n" ); document.write( "x = -1
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this, replace x with 8 and -1 in the original problem
\n" ); document.write( "Only x = 8 is a valid solution
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