document.write( "Question 720340: |x-9|=x^2-9x \n" ); document.write( "
Algebra.Com's Answer #441769 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! |x-9|=x^2-9x \n" ); document.write( "solve for 2 possibilities: \n" ); document.write( "for (x-9)>0 \n" ); document.write( "x-9=x^2-9x \n" ); document.write( "x^2-10x+9=0 \n" ); document.write( "(x-9)(x-1)=0 \n" ); document.write( "x=9 \n" ); document.write( "or \n" ); document.write( "x=1 \n" ); document.write( ".. \n" ); document.write( "for (x-9)<0 \n" ); document.write( "-x+9=x^2-9x \n" ); document.write( "x^2-8x-9=0 \n" ); document.write( "(x-9)(x+1)=0 \n" ); document.write( "x=9 \n" ); document.write( "or \n" ); document.write( "x=-1 \n" ); document.write( "Check: \n" ); document.write( "for x=9 \n" ); document.write( "|x-9|=x^2-9x \n" ); document.write( "0=81-81 \n" ); document.write( "0=0 (x=9 ok) \n" ); document.write( ".. \n" ); document.write( "for x=1 \n" ); document.write( "|x-9|=x^2-9x \n" ); document.write( "|1-9|=1-9 \n" ); document.write( "8≠-8 (reject x=1) \n" ); document.write( ".. \n" ); document.write( "for x=-1 \n" ); document.write( "|x-9|=x^2-9x \n" ); document.write( "|-1-9|=x^2-9x \n" ); document.write( "10=10 (x=-1 ok) \n" ); document.write( "solution: x=9,-1 \n" ); document.write( " |