document.write( "Question 327351: 2x^1/2 + 3x^1/4 = 2 \n" ); document.write( "

Algebra.Com's Answer #234512 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Use a substitution.
\n" ); document.write( "Let $\"u=x%5E%281%2F4%29\"$ , then $\"u%5E2=x%5E%281%2F2%29\"$
\n" ); document.write( " $\"2x%5E1%2F2+%2B+3x%5E1%2F4+=+2\"$
\n" ); document.write( " $\"2u%5E2%2B3u-2=0\"$
\n" ); document.write( " $\"%282u-1%29%28u%2B2%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"2u-1=0\"$
\n" ); document.write( " $\"2u=1\"$
\n" ); document.write( " $\"u=1%2F2\"$
\n" ); document.write( " $\"x%5E%281%2F4%29=1%2F2\"$
\n" ); document.write( " $\"x=%281%2F2%29%5E4\"$
\n" ); document.write( " $\"highlight%28x=1%2F16%29\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"u%2B2=0\"$
\n" ); document.write( " $\"u=-2\"$
\n" ); document.write( " $\"x%5E%281%2F4%29=-2\"$
\n" ); document.write( " $\"highlight%28x=16%29\"$
\n" ); document.write( " \n" ); document.write( "

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