document.write( "Question 530213: The difference between an integer and its square root is 110, what is the integer?
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Algebra.Com's Answer #349949 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The difference between an integer and its square root is 110, what is the integer?\r \n" ); document.write( "\n" ); document.write( "---- \n" ); document.write( "Let \"x\" be the integer. \n" ); document.write( "Equation: \n" ); document.write( "x - sqrt(x) = 110 \n" ); document.write( "---- \n" ); document.write( "sqrt(x) = x-110 \n" ); document.write( "-- \n" ); document.write( "Square both sides to get: \n" ); document.write( "x = x^2-220x+110^2 \n" ); document.write( "--- \n" ); document.write( "Rearrange: \n" ); document.write( "x^2-221x+110^2 = 0 \n" ); document.write( "--- \n" ); document.write( "Factor: \n" ); document.write( "(x-100)(x-121) = 0 \n" ); document.write( "x = 100 or x = 121 \n" ); document.write( "======================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |