document.write( "Question 761792: two squares have sides x cm and(x+4)cm .the sum of their areas is 656 sq.cm. express this as an algebraic equation in x and solve the equation to find the sides of the squares \n" ); document.write( "
Algebra.Com's Answer #463477 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
The square with side = \"+x+\" cm
\n" ); document.write( "has area \"+A%5B1%5D+=+x%5E2+\" cm2
\n" ); document.write( "------------------------
\n" ); document.write( "The square with side = \"+x+%2B+4+\" cm
\n" ); document.write( "has area \"+A%5B2%5D+=+%28+x%2B4+%29%5E2+\" cm2
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\n" ); document.write( "given:
\n" ); document.write( "\"+A%5B1%5D+%2B+A%5B2%5D+=+x%5E2+%2B+%28+x+%2B+4+%29%5E2+\"
\n" ); document.write( "Let \"+A+=+A%5B1%5D+%2B+A%5B2%5D+\"
\n" ); document.write( "\"+A+=+x%5E2+%2B+%28+x+%2B+4+%29%5E2+\"
\n" ); document.write( "\"+A+=+x%5E2+%2B+x%5E2+%2B+8x+%2B+16+\"
\n" ); document.write( "\"+A+=+2x%5E2+%2B+8x+%2B+16+\"
\n" ); document.write( "\"+A+=+656+\" cm2
\n" ); document.write( "\"+2x%5E2+%2B+8x+%2B+16+=+656+\"
\n" ); document.write( "\"+2x%5E2+%2B+8x+=+640+\"
\n" ); document.write( "\"+x%5E2+%2B+4x+=+320+\" ( This is the equation )
\n" ); document.write( "I can complete the square
\n" ); document.write( "\"+x%5E2+%2B+4x+%2B+%28+4%2F2+%29%5E2+=+320+%2B+%28+4%2F2+%29%5E2+\"
\n" ); document.write( "\"+x%5E2+%2B+4x+%2B+4+=+324+\"
\n" ); document.write( "\"+%28+x+%2B+2+%29%5E2+=+18%5E2+\"
\n" ); document.write( "\"+x+%2B+2+=+18+\"
\n" ); document.write( "\"+x+=+16+\"
\n" ); document.write( "( There is also a solution \"+x%2B2+=+-18+\", but ignore it )
\n" ); document.write( "\"+x+%2B+4+=+20+\"
\n" ); document.write( "The sides are 16 cm and 20 cm
\n" ); document.write( "check:
\n" ); document.write( "\"+A%5B1%5D+%2B+A%5B2%5D+=+x%5E2+%2B+%28+x+%2B+4+%29%5E2+\"
\n" ); document.write( "\"+A%5B1%5D+%2B+A%5B2%5D+=+16%5E2+%2B+20%5E2+\"
\n" ); document.write( "\"+A%5B1%5D+%2B+A%5B2%5D+=+256+%2B+400+\"
\n" ); document.write( "\"+A%5B1%5D+%2B+A%5B2%5D+=+656+\"
\n" ); document.write( "OK\r
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