document.write( "Question 432524: What is the area of a golden rectangle of height 2\". I get how to draw it out but I am struggling with the formulas? \n" ); document.write( "
Algebra.Com's Answer #299886 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Call the length \"+x+\"
\n" ); document.write( "The formula is:
\n" ); document.write( "\"+2%2Fx+=+x%2F%28x%2B2%29+\"
\n" ); document.write( "Multiply both sides by \"+x%2A%28x%2B2%29+\"
\n" ); document.write( "\"+2%2A%28x%2B2%29+=+x%5E2+\"
\n" ); document.write( "\"+2x+%2B+4+=+x%5E2+\"
\n" ); document.write( "\"+x%5E2+-+2x+-+4+=+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( "\"a=+1\"
\n" ); document.write( "\"b+=+-2\"
\n" ); document.write( "\"c+=+-4\"
\n" ); document.write( " \"x+=+%28-%28-2%29+%2B-+sqrt%28+%28-2%29%5E2-4%2A1%2A%28-4%29+%29%29%2F%282%2A1%29+\"
\n" ); document.write( "\"x+=+%28+2+%2B-+sqrt%28+4+%2B+16+%29%29%2F2+\"
\n" ); document.write( "\"+x+=+%282+%2B-+sqrt%28+4%2A5%29%29%2F2+\"
\n" ); document.write( "\"+x+=+2%2F2+%2B+2%2Asqrt%285%29%2F2+\"
\n" ); document.write( "\"+x=+1+%2B+sqrt%285%29+\"
\n" ); document.write( "The other root is negative, so it can't be used
\n" ); document.write( "The area is \"A+=+x%2A2\"
\n" ); document.write( "\"+A+=+2%2A%281+%2B+sqrt%285%29%29\"
\n" ); document.write( "\"+A+=+2+%2B+2%2Asqrt%285%29+\" in.
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