document.write( "Question 189149: ROOT:5-x = x-3\r
\n" ); document.write( "\n" ); document.write( "do I first set both sides squared to get rid of the root? this again says check all proposed solutions which I don't understand.
\n" ); document.write( "

Algebra.Com's Answer #141890 by edjones(8007)\"\" \"About 
You can put this solution on YOUR website!
sqrt(5-x)=x-3
\n" ); document.write( "5-x=x^2-6x+9 square each side.
\n" ); document.write( "x^2-5x+4=0 subtract the left side from the right.
\n" ); document.write( "(x-4)(x-1)=0 factor
\n" ); document.write( "x=4, x=1 These are the proposed solutions. Now you have to put them into the original equation and check to see if the solution is a true one or if it is extraneous.
\n" ); document.write( ".
\n" ); document.write( "sqrt(5-4)=4-3
\n" ); document.write( "sqrt(1)=1 true
\n" ); document.write( ".
\n" ); document.write( "sqrt(5-1)=1-3
\n" ); document.write( "2=-2 extraneous
\n" ); document.write( ".
\n" ); document.write( "Ed
\n" ); document.write( "
\n" ); document.write( "
\n" );