document.write( "Question 1004156: two consecutive numbers are added. The square of thier sum is 361. what are the intergers? (Quadratic equation) \n" ); document.write( "
Algebra.Com's Answer #620692 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let the two numbers be x & x+1\r \n" ); document.write( "\n" ); document.write( "their sum = 2x+!\r \n" ); document.write( "\n" ); document.write( "(2x+1) ^2 = 361\r \n" ); document.write( "\n" ); document.write( "4x^2 +4x +1 =361\r \n" ); document.write( "\n" ); document.write( "4x^2+4x -360 =0\r \n" ); document.write( "\n" ); document.write( "/4\r \n" ); document.write( "\n" ); document.write( "x^2+x-90=0\r \n" ); document.write( "\n" ); document.write( "x^2 +10x-9x-90 = 0\r \n" ); document.write( "\n" ); document.write( "x(x+10)-9(x+10)=0\r \n" ); document.write( "\n" ); document.write( "(x+10)(x-9) =0\r \n" ); document.write( "\n" ); document.write( "x = -10 or x = 9\r \n" ); document.write( "\n" ); document.write( "the numbers are\r \n" ); document.write( "\n" ); document.write( "-10,-9\r \n" ); document.write( "\n" ); document.write( "OR \n" ); document.write( "9 &10 \n" ); document.write( " |