document.write( "Question 470851: find two numbers which differs by 5 and sum of their squares are 125. \n" ); document.write( "
Algebra.Com's Answer #322951 by hinaahsan(5)![]() ![]() ![]() You can put this solution on YOUR website! let the two numbers be x and x-5 \r \n" ); document.write( "\n" ); document.write( "(x)^2 + (x-5)^2 = 125 \n" ); document.write( " x^2 + x^2 + 25 -10x =125 \n" ); document.write( " 2x^2 - 10x +25 =125 \n" ); document.write( " 2x^2 -10x= 125-25 \n" ); document.write( " 2x^2 -10x =100 \n" ); document.write( " 2x(x-10) = 100 \n" ); document.write( " x(x-10) = 100/2 \n" ); document.write( " x(x-10)=50 \n" ); document.write( " x^2-10x-50 = 0 \n" ); document.write( " x^2 -10x +5x -50 =0 \n" ); document.write( " x(x-10) +5(x-10) =0 \n" ); document.write( " (x+5)(x-10) = 0 \n" ); document.write( "(x+5) = 0 ; (x-10)=0 \n" ); document.write( "x= -5 ; x=10\r \n" ); document.write( "\n" ); document.write( "so the two numbers be -5 and 10\r \n" ); document.write( "\n" ); document.write( "Counter check \n" ); document.write( " (-5)^2 + (10)^2 \n" ); document.write( "= 25+100 \n" ); document.write( "= 125 \n" ); document.write( " |