document.write( "Question 841686: The sum of two numbers is 11 and the sum of their squares is 65.find the numbers. \n" ); document.write( "
Algebra.Com's Answer #507173 by Narsinghchauhan8960103366(17)![]() ![]() You can put this solution on YOUR website! let the first no is x \n" ); document.write( "So the second no is (11-x) \n" ); document.write( "According to question \n" ); document.write( "x^2+(11-x)^2=65 \n" ); document.write( "x^2+121+x^2-22x=65 \n" ); document.write( "2x^2-22x+56=0 \n" ); document.write( "divide the equation by 2 \n" ); document.write( "x^2-11x+28=0 \n" ); document.write( "x^2-7x-4x+28=0 \n" ); document.write( "x(x-7)-4(x-7)=0 \n" ); document.write( "(x-7)(x-4)=0 \n" ); document.write( "(x-7)=0 \n" ); document.write( "x=7 \n" ); document.write( "(x-4)=0 \n" ); document.write( "x=4 \n" ); document.write( "So the No are 4 and 7\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |