document.write( "Question 894327: √3x-2 +3= 4x solve with extraneous solutions \n" ); document.write( "

Algebra.Com's Answer #541939 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"sqrt%283x-2%29%2B3=4x\"$
\n" ); document.write( " $\"sqrt%283x-2%29=4x-3\"$
\n" ); document.write( " $\"3x-2=%284x-3%29%5E2\"$
\n" ); document.write( " $\"3x-2=16x%5E2-24x%2B9\"$
\n" ); document.write( " $\"16x%5E2-27x%2B11=0\"$
\n" ); document.write( " $\"%28x-1%29%2816x-11%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"x-1=0\"$
\n" ); document.write( " $\"x=1\"$
\n" ); document.write( "Verifying,
\n" ); document.write( " $\"sqrt%283-2%29%2B3=4\"$
\n" ); document.write( " $\"1%2B3=4\"$
\n" ); document.write( " $\"4=4\"$
\n" ); document.write( "True.
\n" ); document.write( " $\"16x-11=0\"$
\n" ); document.write( " $\"16x=11\"$
\n" ); document.write( " $\"x=11%2F16\"$
\n" ); document.write( "Verifying,
\n" ); document.write( " $\"sqrt%283%2811%2F16%29-2%29%2B3=4%2811%2F16%29\"$
\n" ); document.write( " $\"sqrt%2833%2F16-32%2F16%29%2B3=11%2F4\"$
\n" ); document.write( " $\"sqrt%281%2F16%29%2B12%2F4=11%2F4\"$
\n" ); document.write( " $\"1%2F4%2B12%2F4=11%2F4\"$
\n" ); document.write( " $\"13%2F4=11%2F4\"$
\n" ); document.write( "False, this is the extraneous solution. \n" ); document.write( "

\n" );