document.write( "Question 311628: Find two positive real numbers that differ by 2 and have a product of 10. \n" ); document.write( "

Algebra.Com's Answer #222896 by checkley77(12844) $\"\"$ $\"About$

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X=Y-2
\n" ); document.write( "XY=10
\n" ); document.write( "(Y-2)Y=10
\n" ); document.write( "Y^2-2Y=10
\n" ); document.write( "Y^2-2Y-10=0
\n" ); document.write( " $\"Y+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( "Y=(2+-SQRT[-2^2-4*1*-10)'2*1
\n" ); document.write( "Y=(2+-SQRT[4+40])/2
\n" ); document.write( "Y=(2+-SQRT44)/2
\n" ); document.write( "Y=(2+-6.633)/2
\n" ); document.write( "Y=2+6.33)/2
\n" ); document.write( "Y=8.33/2
\n" ); document.write( "Y=4.3166 ANS.
\n" ); document.write( "X=4.3166-2=2.3166 ANS
\n" ); document.write( "Y=(2-6.633)/2
\n" ); document.write( "Y=-4.633/2
\n" ); document.write( "Y=-2.3166 ANS
\n" ); document.write( "X=-2.3166-2=-4.166 ANS.
\n" ); document.write( "PROOF:
\n" ); document.write( "4.3166*2.3166=10
\n" ); document.write( "10=10 \n" ); document.write( "

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