document.write( "Question 1097398: a) √3x-4x^1/2+1=0\r
\n" ); document.write( "\n" ); document.write( "b) 5√t=t+4 \n" ); document.write( "
Algebra.Com's Answer #711832 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
a) \"+sqrt%283%29x-4sqrt%28x%29%2B1=0+\"
\n" ); document.write( "Use a substitution,
\n" ); document.write( "\"u=sqrt%28x%29\"
\n" ); document.write( "\"u%5E2=x\"
\n" ); document.write( "So,
\n" ); document.write( "\"sqrt%283%29u%5E2-4u%2B1=0\"
\n" ); document.write( "Using the quadratic formula,
\n" ); document.write( "
\n" ); document.write( "\"u+=+%284+%2B-+sqrt%28+16-4%2Asqrt%283%29+%29%29%2F%282%2Asqrt%283%29%29+\"
\n" ); document.write( "\"u+=+%284+%2B-+2sqrt%28+4-sqrt%283%29+%29%29%2F%282%2Asqrt%283%29%29+\"
\n" ); document.write( "\"u+=+%282%2B-+sqrt%28+4-sqrt%283%29+%29%29%2F%28sqrt%283%29%29+\"
\n" ); document.write( "or approximately,
\n" ); document.write( "\"u=0.2852\" and \"u=2.0242\"
\n" ); document.write( "So then,
\n" ); document.write( "\"x=u%5E2\" so,
\n" ); document.write( "\"x=0.0813\" and \"x=4.097\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "\"5sqrt%28t%29=t%2B4\"
\n" ); document.write( "\"25t=%28t%2B4%29%5E2\"
\n" ); document.write( "\"25t=t%5E2%2B8t%2B16\"
\n" ); document.write( "\"t%5E2-17t%2B16=0\"
\n" ); document.write( "\"%28t-16%29%28t-1%29=0\"
\n" ); document.write( "So,
\n" ); document.write( "\"t-16=0\"
\n" ); document.write( "\"t=16\"
\n" ); document.write( "and
\n" ); document.write( "\"t-1=0\"
\n" ); document.write( "\"t=1\"
\n" ); document.write( "Verifying,
\n" ); document.write( "\"5%28sqrt%2816%29%29=16%2B4\"
\n" ); document.write( "\"5%2A4=20\"
\n" ); document.write( "\"20=20\"
\n" ); document.write( "True, good solution.
\n" ); document.write( "and
\n" ); document.write( "\"5%28sqrt%281%29%29=1%2B4\"
\n" ); document.write( "\"5=5\"
\n" ); document.write( "True, good solution.
\n" ); document.write( " \n" ); document.write( "
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