document.write( "Question 131441: the square root of x-4 - the square root of x+8 =2 \n" ); document.write( "
Algebra.Com's Answer #95950 by edjones(8007)![]() ![]() You can put this solution on YOUR website! sqrt(x-4)-sqrt(x+8)=2 \n" ); document.write( "sqrt(x-4)-2=sqrt(x+8) \n" ); document.write( "x-4-4sqrt(x-4)+4=x+8 square both sides. \n" ); document.write( "-4sqrt(x-4)=8 \n" ); document.write( "(-4sqrt(x-4))^2=8^2 \n" ); document.write( "16(x-4)=64 \n" ); document.write( "16x-64=64 \n" ); document.write( "16x=128 \n" ); document.write( "x=8 \n" ); document.write( ". \n" ); document.write( "Check: \n" ); document.write( "sqrt(8-4)-sqrt(8+8)=2 \n" ); document.write( "2-4=2 False \n" ); document.write( "There is no answer to this equation. \n" ); document.write( ". \n" ); document.write( "Ed\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |