document.write( "Question 1014012: the side of one square is 3 cm longer than twice the length of the side of a second square , is 105 centimeter to the second power. Find the length of the side of each square \n" ); document.write( "
Algebra.Com's Answer #630341 by ankor@dixie-net.com(22740)\"\" \"About 
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the side of one square is 3 cm longer than twice the length of the side of a second square, is 105 centimeter to the second power.
\n" ); document.write( " Find the length of the side of each square
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\n" ); document.write( "let x = the side of the 2nd square
\n" ); document.write( "then
\n" ); document.write( "(2x+3) = the side of the 1st square
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\n" ); document.write( "(2x+3)^2 = 105
\n" ); document.write( "FOIL
\n" ); document.write( "4x^2 + 6x + 6x + 9 = 105
\n" ); document.write( "4x^2 + 12x + 9 - 105 = 0
\n" ); document.write( "4x^2 + 12x - 96 = 0
\n" ); document.write( "simplify, divide by 4
\n" ); document.write( "x^2 + 3x - 24 = 0
\n" ); document.write( "Using the quadratic formula, I got a positive solution of:
\n" ); document.write( "x = 3.623cm, the side of the 2nd square
\n" ); document.write( ":
\n" ); document.write( "then side of the 1st square
\n" ); document.write( "2(3.623) + 3 = 10.246 cm
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\n" ); document.write( "Check: 10.246^2 = 104.98 ~ 105 \n" ); document.write( "
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