document.write( "Question 253296: x^(2/7)-3x^(1/7)-10=0 \n" ); document.write( "

Algebra.Com's Answer #185585 by drk(1908) $\"\"$ $\"About$

You can put this solution on YOUR website!
Here is the original question:
\n" ); document.write( "(i) $\"x%5E%282%2F7%29-3x%5E%281%2F7%29-10=0\"$
\n" ); document.write( "Let U = x^(1/7). Doing this helps us to rewrite (i) as
\n" ); document.write( "(ii) $\"U%5E2-3U-10=0\"$ .
\n" ); document.write( "Now factor (ii) to get
\n" ); document.write( "(iii) $\"%28U-5%29%2A%28U%2B2%29=0\"$
\n" ); document.write( "and solve for U to get
\n" ); document.write( " $\"U+=+5\"$ and $\"U=+-2\"$
\n" ); document.write( "Now resub x^(1/7 back into U to get the values of x
\n" ); document.write( "x^(1/7) = 5 - - > x = 5^7
\n" ); document.write( "x^(1/7) = -2 - - > x = (-2)^7. \n" ); document.write( "

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