document.write( "Question 143055: Find two real numbers that have a sum of 8 and a product of 2. \n" ); document.write( "
Algebra.Com's Answer #104099 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! x+y=8 or x=8-y \n" ); document.write( "x*y=2 \n" ); document.write( "(8-y)*y=2 \n" ); document.write( "8y-y^2=2 \n" ); document.write( "-y^2+8y-2=0 \n" ); document.write( "y^2-8y+2=0 \n" ); document.write( " \n" ); document.write( "y=(8+-sqrt[-8^2-4*1*2])/2*1 \n" ); document.write( "y=(8+-sqrt[64-8])/2 \n" ); document.write( "y=(8+-sqrt56)/2 \n" ); document.write( "y=(8+-7.48)/2 \n" ); document.write( "y=15.48/2 \n" ); document.write( "y=7.74 answer. \n" ); document.write( "y=(8-7.48)/2 \n" ); document.write( "y=.52/2 \n" ); document.write( "y=.26 answer. \n" ); document.write( "proof: \n" ); document.write( "7.74+.26=8 \n" ); document.write( "8=8 \n" ); document.write( "7.74*.26=2 \n" ); document.write( "2~2 \n" ); document.write( " \n" ); document.write( " |