document.write( "Question 122716: The sum of the squares of three consecutive integers is 194. What are the integers? \n" ); document.write( "
Algebra.Com's Answer #90083 by checkley71(8403)![]() ![]() ![]() You can put this solution on YOUR website! X^2+(X+1)^2+(X+2)^2=194 \n" ); document.write( "X^2+X^2+2X+1+X^2+4X+4=194 \n" ); document.write( "3X^2+6X+5-194=0 \n" ); document.write( "3X^2+6X-189=0 \n" ); document.write( "(3X-21)(X+9)=0 \n" ); document.write( "3X-21=0 \n" ); document.write( "3X=21 \n" ); document.write( "X=21/3 \n" ); document.write( "X=7 ANSWER. \n" ); document.write( "X+9=0 \n" ); document.write( "X=-9 ANSWER. \n" ); document.write( "PROOF \n" ); document.write( "7^2+8^2+9^2=194 \n" ); document.write( "49+64+81=194 \n" ); document.write( "194=194 \n" ); document.write( "-9^2-8^2-7^2=194 \n" ); document.write( "81+64+49=194 \n" ); document.write( "194=194\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |