document.write( "Question 971753: square root 2x + 5 + square root x + 2 = 5\r
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Algebra.Com's Answer #594149 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! sqrt (2x+5)=5-sqrt (x+2)\r \n" ); document.write( "\n" ); document.write( "square both sides \n" ); document.write( "2x +5 = 25 -10 sqrt (x+2) +x +2 \n" ); document.write( "collect terms\r \n" ); document.write( "\n" ); document.write( "x+10 sqrt (x+2)=22 \n" ); document.write( "10 sqrt (x+2)=22-x \n" ); document.write( "square both sides\r \n" ); document.write( "\n" ); document.write( "100 (x+2)=484 -44x +x^2 \n" ); document.write( "100x +200=484-44x + x^2 \n" ); document.write( "x^2-144x+284=0\r \n" ); document.write( "\n" ); document.write( "By quadratic formula sqrt (b^2-4ac)=140\r \n" ); document.write( "\n" ); document.write( "x=(1/2) [144 +/-140] \n" ); document.write( "x=142 \n" ); document.write( "x=2\r \n" ); document.write( "\n" ); document.write( "Test solutions \n" ); document.write( "sqrt 9 + sqrt 4=5 yes\r \n" ); document.write( "\n" ); document.write( "sqrt 289 + sqrt 144=5 NO extraneous root\r \n" ); document.write( "\n" ); document.write( "x=2\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |