document.write( "Question 363811: Find the length of the side of a square whose diagonal is 12 feet longer than
\n" ); document.write( "The length of a side. Express the answer exactly and to the nearest hundredth
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Algebra.Com's Answer #259494 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Hi,
\n" ); document.write( "Let x represent the length of each side of the square. (x+12ft) the diagonal.
\n" ); document.write( "applying the Pythagorean theorem (with the diagonal being the hypotenuse)
\n" ); document.write( "x^2 + x^2 = (x + 12)^2
\n" ); document.write( "2x^2 = x^2 + 24x + 144ft^2
\n" ); document.write( "x^2 -24x - 144 = 0
\n" ); document.write( "using the quadratic equation to solve
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"x+=+%2824+%2B-+sqrt%28+1152+%29%29%2F%282%29+\"
\n" ); document.write( "\"x+=+%2824+%2B-+sqrt%28+64%2A18+%29%29%2F%282%29+\"
\n" ); document.write( "\"x+=+%2824+%2B-+8%2Asqrt%28+18+%29%29%2F%282%29+\"
\n" ); document.write( "\"x+=+12%2B-+4%2Asqrt%28+18+%29\"
\n" ); document.write( "\"x+=+12%2B-+16.971\"
\n" ); document.write( "x = 28.971
\n" ); document.write( "x = -4.971
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