document.write( "Question 252278: hi! how do u make a algebraic equation on this question: If the sides of a square are increased by 5cm, the area of the new square is four times the area of the original square. Find the length of a side of the original square.
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document.write( "Can you please show me how to solve this using the check. thanks! \n" );
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Algebra.Com's Answer #184117 by user_dude2008(1862)![]() ![]() ![]() You can put this solution on YOUR website! equation is (x+5)^2 = 4x^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x+5)^2 = 4x^2 \n" ); document.write( "x^2+10x+25 = 4x^2 \n" ); document.write( "-3x^2+10x+25 = 0 \n" ); document.write( "(x-5)(3x+5) = 0 \n" ); document.write( "x-5=0 or 3x+5=0 \n" ); document.write( "x=5 or x=-5/3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Only answer is x=5. Original side length is 5 cm\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check: \r \n" ); document.write( "\n" ); document.write( "Original area = 5*5 = 25 \n" ); document.write( "New area = (5+5)*(5+5) = 10*10 = 100 = 4*25 \n" ); document.write( " |