document.write( "Question 205593: find the length of the diagonal of a square in which the diagonal is 4 units longer than the length of a side. \n" ); document.write( "
Algebra.Com's Answer #155215 by stanbon(75887)\"\" \"About 
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find the length of the diagonal of a square in which the diagonal is 4 units longer than the length of a side.
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\n" ); document.write( "Draw the picture of a square.
\n" ); document.write( "Label the sides as \"x\".
\n" ); document.write( "Label the diagonal as \"x+4\".
\n" ); document.write( "Use Pythagoras to solve for \"x\":
\n" ); document.write( "x^2 + x^2 = (x+4)^2
\n" ); document.write( "2x ^2 = x^2 + 2x + 16
\n" ); document.write( "x^2 - 2x - 16 = 0
\n" ); document.write( "Use the quadratic formula to get:
\n" ); document.write( "x = [2 +- sqrt(4 - 4*1*-16)]/2
\n" ); document.write( "---
\n" ); document.write( "x = [2 +- sqrt(4+64)]/2
\n" ); document.write( "x = [2 +- sqrt(68)]/2
\n" ); document.write( "Positive Solution:
\n" ); document.write( "x = [2 + sqrt(68)]/2
\n" ); document.write( "x = 5.123 units
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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