document.write( "Question 264422: jack is thinking of 2 positive numbers. One of them is 4 more than the other, and the sum of their squares is 208. What are the numbers? \n" ); document.write( "
Algebra.Com's Answer #194694 by vksarvepalli(154)\"\" \"About 
You can put this solution on YOUR website!
let the two positive no.s be x & y\r
\n" ); document.write( "\n" ); document.write( "given x=4+y\r
\n" ); document.write( "\n" ); document.write( "and x^2 + y^2 = 208\r
\n" ); document.write( "\n" ); document.write( "that is (4+y)^2 + y^2 = 208\r
\n" ); document.write( "\n" ); document.write( "=> \"16%2B8y%2By%5E2%2By%5E2=208\" \r
\n" ); document.write( "\n" ); document.write( "=> 2y^2+8y-192=0\r
\n" ); document.write( "\n" ); document.write( "=>2(y^2+4y-96)=0\r
\n" ); document.write( "\n" ); document.write( "=>y^2+4y-96=0\r
\n" ); document.write( "\n" ); document.write( "=>y^2+12y-8y-96=0\r
\n" ); document.write( "\n" ); document.write( "=>y(y+12)-8(y+12)=0\r
\n" ); document.write( "\n" ); document.write( "=>(y-8)(y+12)=0\r
\n" ); document.write( "\n" ); document.write( "so y=8 , -12\r
\n" ); document.write( "\n" ); document.write( "so x=12 , -8\r
\n" ); document.write( "\n" ); document.write( "so the no.s are (8,12) or (-12,-8)
\n" ); document.write( "
\n" );