document.write( "Question 480988: Question: \"Each side of a square is 4 m long. When each side is increased by x m, the area is doubled. Find the value of x.\" Please help! \n" ); document.write( "
Algebra.Com's Answer #329325 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! \"Each side of a square is 4 m long. When each side is increased by x m, the area is doubled. Find the value of x.\" \n" ); document.write( "---- \n" ); document.write( "Original Area = 4^2 = 16 sq meters \n" ); document.write( "Solve: \n" ); document.write( "(4+x)^2 = 2*16 \n" ); document.write( "16 + 8x + x^2 = 32 \n" ); document.write( "x^2+8x-16 = 0 \n" ); document.write( "--- \n" ); document.write( "x = [-8 +- sqrt(64-4*1*-16)]/2 \n" ); document.write( "--- \n" ); document.write( "x = [-8 +- 8sqrt(2)]/2 \n" ); document.write( "--- \n" ); document.write( "Positive solution:\r \n" ); document.write( "\n" ); document.write( "x = [-8 + 8sqrt(2)]/2 \n" ); document.write( "x = 1.6569 \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================= \n" ); document.write( " \n" ); document.write( " |