document.write( "Question 38365: x+y=10,x*y=20 find the value of x,y \n" ); document.write( "

Algebra.Com's Answer #23866 by venugopalramana(3286) $\"\"$ $\"About$

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x+y=10...................................i
\n" ); document.write( "x*y=20 find the value of x,y
\n" ); document.write( "(x-y)^2=(x+y)^2-4y=10^2-4*20=100-80=20
\n" ); document.write( "x-y=sqrt(20)=2sqrt(5)....................................ii
\n" ); document.write( "i+ii
\n" ); document.write( "2x=10+2sqrt(5)
\n" ); document.write( "x=5+sqrt(5)
\n" ); document.write( "i-ii
\n" ); document.write( "2y=10-2sqrt(5)
\n" ); document.write( "y=5-sqrt(5) \n" ); document.write( "

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