document.write( "Question 534075: The difference of square of 2 number is 180. The square of smaller number is 8 times the larger number. Find the two numbers. \n" ); document.write( "
Algebra.Com's Answer #351277 by boilpoil(127)\"\" \"About 
You can put this solution on YOUR website!
Let the smaller number be x
\n" ); document.write( "Then the larger number be \"x%5E2%2F8\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28x%5E2%2F8%29%5E2-x%5E2=180\"
\n" ); document.write( "\"%28x%5E%282%282%29%29%2F8%5E2%29-x%5E2=180\"
\n" ); document.write( "\"x%5E4%2F64-x%5E2=180\"
\n" ); document.write( "\"64%28x%5E4%2F64%29-64%28x%5E2%29=64%28180%29\"
\n" ); document.write( "\"x%5E4-64x%5E2=11520\"
\n" ); document.write( "\"x%5E4-64x%5E2-11520=0\"
\n" ); document.write( "\"%28x%5E2%2B80%29%28x%5E2-144%29=0\"
\n" ); document.write( "\"%28x%5E2%2B80%29%28x-12%29%28x%2B12%29=0\"
\n" ); document.write( "1. x^2+80=0
\n" ); document.write( "2. x-12=0 ***Set each of the factors of the equation equal to 0***
\n" ); document.write( "3. x+12=0\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "1. \"x%5E2=+-80\"
\n" ); document.write( "\"sqrt%28x%5E2%29\"=+_\"sqrt%28-80%29\"
\n" ); document.write( "\"x=%2B-4i%7B%7B%7Bsqrt%285%29\"
\n" ); document.write( "x=4i\"sqrt%285%29\", -4i\"sqrt%285%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2. x-12=0
\n" ); document.write( "x=12\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "3. x+12=0
\n" ); document.write( "x=-12\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So x=4i\"sqrt%285%29\", -4i\"sqrt%285%29\", 12, -12\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "For the larger number... you calculate yourself just substitute it (I think you are capable of this because you have already started calculating something so complicated as this.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Note: +_ stands for Positive/Negative sign
\n" ); document.write( "
\n" );