document.write( "Question 674559: One number is one-third of another. The difference of their squares is ¾. Find the numbers \n" ); document.write( "
Algebra.Com's Answer #419320 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
One number is one-third of another. The difference of their squares is ¾. Find the numbers
\n" ); document.write( ".
\n" ); document.write( "Let x = one number
\n" ); document.write( "then
\n" ); document.write( "x/3 = other number
\n" ); document.write( ".
\n" ); document.write( "x^2 - (x/3)^2 = 3/4
\n" ); document.write( "x^2 - x^2/9 = 3/4
\n" ); document.write( "multiplying both sides by 36:
\n" ); document.write( "36x^2 - 4x^2 = 27
\n" ); document.write( "32x^2 = 27
\n" ); document.write( "x^2 = 27/32
\n" ); document.write( "x = \"sqrt%2827%2F32%29\"
\n" ); document.write( "x = \"%283%2F4%29%2Asqrt%283%2F2%29\"
\n" ); document.write( ".
\n" ); document.write( "other number:
\n" ); document.write( "x/3 = \"%28%283%2F4%29%2Asqrt%283%2F2%29%29%2F3\"
\n" ); document.write( "x/3 = \"%281%2F4%29%2Asqrt%283%2F2%29\"\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );