document.write( "Question 282503: A number, when increased by six, is a perfect square. When the same number doubled is decreased by four, the result is the same. What is the number? \n" ); document.write( "
Algebra.Com's Answer #205098 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! The setup ignores the perfect square statement and instead focuses on the relationship. \n" ); document.write( "x+6=2x-4 \n" ); document.write( ". \n" ); document.write( "Solving for 'x' \n" ); document.write( ". \n" ); document.write( "-x=-10 \n" ); document.write( "x = 10 \n" ); document.write( ". \n" ); document.write( "Now we can check for the perfect square... \n" ); document.write( ". \n" ); document.write( "x+6 = 16 :: a perfect square \n" ); document.write( ". \n" ); document.write( "Continue checking for the other condition... \n" ); document.write( "2x-4= 20-4 = 16, which =x+6 \n" ); document.write( "Correct! \n" ); document.write( ". \n" ); document.write( "Answer: The number is 10. \n" ); document.write( ". \n" ); document.write( "Done. \n" ); document.write( " |