document.write( "Question 675349: The product of two numbers is 8. The difference of their squares is 12. Find the two numbers. \n" ); document.write( "
Algebra.Com's Answer #419774 by sachi(548)\"\" \"About 
You can put this solution on YOUR website!
let one no is x
\n" ); document.write( "so the other no is 8/x
\n" ); document.write( "The difference of their squares is 12
\n" ); document.write( "so x^2-(8/x)^2=12
\n" ); document.write( "or x^2-64/x^2=12
\n" ); document.write( "or x^4-64=12x^2
\n" ); document.write( "or x^4-12x^2-64=0
\n" ); document.write( "or (x^4-12x^2+36)-36-64=0
\n" ); document.write( "or (x^2-6)^2=100
\n" ); document.write( "or x^2-6=+/-10
\n" ); document.write( "now two cases arise
\n" ); document.write( "1st x^2-6=-10
\n" ); document.write( "or x^2=-10+6=-4 (rejected for -ve value)
\n" ); document.write( "2nd x^2-6=+10
\n" ); document.write( "or x^2=10+6=16
\n" ); document.write( "or x=+/-2
\n" ); document.write( "so the other no is -/+4
\n" ); document.write( "ans \n" ); document.write( "
\n" );