document.write( "Question 729767: (10/x) +3= (x+9)/(x-4)\r
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document.write( "solve using LCD
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document.write( "Check for extraneous solution \n" );
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Algebra.Com's Answer #446223 by lwsshak3(11628) ![]() You can put this solution on YOUR website! (10/x) +3= (x+9)/(x-4) \n" ); document.write( "solve using LCD \n" ); document.write( "Check for extraneous solution \n" ); document.write( "*** \n" ); document.write( "(10/x) +3= (x+9)/(x-4) \n" ); document.write( "LCD:x(x-4) \n" ); document.write( "10x-40+3x(x-4)=x(x+9) \n" ); document.write( "10x-40+3x^2-12x=x^2+9x \n" ); document.write( "2x^2-11x-40=0 \n" ); document.write( "(2x+5)(x-8)=0 \n" ); document.write( "x=-5/2 \n" ); document.write( "or \n" ); document.write( "x=8 \n" ); document.write( "check: \n" ); document.write( "for x=8 \n" ); document.write( "10/8+3=(8+9)/(8-4) \n" ); document.write( "34/8=17/4 \n" ); document.write( "17/4=17/4 \n" ); document.write( "left side=right side \n" ); document.write( "... \n" ); document.write( "for x=-5/2 \n" ); document.write( "10/(-5/2)+3=((-5/2)+9)/((-5/2)-4) \n" ); document.write( "(20/-5)+3=((-5/2)+(18/2))/((-5/2)-(8/2)) \n" ); document.write( "(-4+3)=(13/2)/(-13/2) \n" ); document.write( "-1=-1 \n" ); document.write( "left side=right side \n" ); document.write( "No extraneous solutions\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |