document.write( "Question 911107: XY=14 and x+y=9 then x-y=
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Algebra.Com's Answer #552847 by anirudhreddy(2)![]() ![]() ![]() You can put this solution on YOUR website! XY=14 and x+y=9 then x-y=\r \n" ); document.write( "\n" ); document.write( "to solve the above problem we need to learn basic formulas like 1)(a+b)^2= a^2+b^2+2ab. and 2)(a-b)^2=a^2+b^2-2ab. \n" ); document.write( "now apply the above formulas to given data by squaring both sides for x+y=9 \n" ); document.write( "==> (x+y)^2=9^2 ==> x^2+y^2+2xy=81, now assign given assign values to xy \n" ); document.write( "==> x^2+y^2+2(14)=81 ==> x^2+y^2= 81-28. ==> x^2+y^2= 53. \n" ); document.write( "now apply this x^2+y^2 values to formula 2. (x-y)^2=x^2+y^2-2xy. \n" ); document.write( "==> (x-y)^2= 53-28 ==> (x-y)^2= 25. ==> now taking sq.root on both sides and we get the x-y values as x-y=5. \n" ); document.write( " |