document.write( "Question 343887: Each side of a square is 4 meters long. When each side is increased by x meters, the area os doubled. Find the value of x. \n" ); document.write( "
Algebra.Com's Answer #246014 by Fombitz(32388)\"\" \"About 
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Each side of a square is 4 meters long. When each side is increased by x meters, the area os doubled. Find the value of x.\r
\n" ); document.write( "\n" ); document.write( "The area of a square is,
\n" ); document.write( "\"A=s%5E2\"
\n" ); document.write( "Initially,
\n" ); document.write( "\"A%5B1%5D=4%5E2\"
\n" ); document.write( "\"A%5B1%5D=16\"
\n" ); document.write( ".
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\n" ); document.write( "\"A%5B2%5D=%284%2Bx%29%5E2=32\"
\n" ); document.write( "\"16%2B8x%2Bx%5E2=32\"
\n" ); document.write( "\"x%5E2%2B8x-16=0\"
\n" ); document.write( "Use the quadratic formula,
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"x+=+%28-8+%2B-+sqrt%28+8%5E2-4%2A1%2A%28-16%29+%29%29%2F%282%2A1%29+\"
\n" ); document.write( "\"x+=+%28-8+%2B-+sqrt%28+64%2B64+%29%29%2F2+\"
\n" ); document.write( "\"x+=+%28-8+%2B-+8sqrt%28+2+%29%29%2F2+\"
\n" ); document.write( "\"x+=+-4+%2B-+4sqrt%282%29+\"
\n" ); document.write( "Only the positive answer makes sense in this situation.
\n" ); document.write( "\"x+=+-4+%2B+4sqrt%28+2+%29+\"
\n" ); document.write( " \"highlight%28x+=+4%28+sqrt%28+2+%29-1%29%29+\"
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