document.write( "Question 731275: I apologize for any confusion in advance. Thank you.\r
\n" ); document.write( "\n" ); document.write( "\"The length of the side of a large square is 1 cm less than twice the length of the side of a small square. The area of the large square is 33 cm^2 more than the area of the small square. Find the length of the sides of the two squares.\"\r
\n" ); document.write( "\n" ); document.write( "I tried using the Quadratic Formula, and I began trying to solve for the larger square. \r
\n" ); document.write( "\n" ); document.write( "I tried to find A, B, and C using this method.
\n" ); document.write( "(2x-1)(2x-1)=33+x^2
\n" ); document.write( "4x^2-2x-2x+1=33+x^2
\n" ); document.write( "5x^2-4x-32=0\r
\n" ); document.write( "\n" ); document.write( "So A = 5, B = -4 C = -32\r
\n" ); document.write( "\n" ); document.write( "Then, I plugged in the numbers and tried to solve.\r
\n" ); document.write( "\n" ); document.write( "X=4+/- sqrt ( 16+640 ) Over10.\r
\n" ); document.write( "\n" ); document.write( "X=$=/- 25.6 Over 10.\r
\n" ); document.write( "\n" ); document.write( "X= 2.96, -2.16\r
\n" ); document.write( "\n" ); document.write( "I'm not sure what I did wrong. The day my Algebra teacher went over this I was absent, and she's been out sick for the past 2 days with the stomach flu. Thank you in advance for your help!
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Algebra.Com's Answer #447062 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
Minus signs always cause problems.
\n" ); document.write( "They are hard to see, easy to miss, and likely to change as you copy an equation to the next line, or to another page.
\n" ); document.write( "Then you need someone else to look for your mistake, because it is invisible to you.
\n" ); document.write( "You were doing OK all the way to
\n" ); document.write( "\"4x%5E2-2x-2x%2B1=33%2Bx%5E2\"
\n" ); document.write( "From there you should have added a \"-x%5E2\" to both sides to get
\n" ); document.write( "\"3x%5E2-4x-32=0\" (You got \"5x%5E2-4x-32=0\" instead).
\n" ); document.write( "Applying the quadratic formula to \"3x%5E2-4x-32=0\" with \"a=3\" , \"b=-4\" and \"c=-32\" you would get
\n" ); document.write( "\"x+=+%284+%2B-+sqrt%2816%2B384%29%29%2F6+\" --> \"x+=+%284+%2B-+sqrt%28400%29%29%2F6+\" --> \"x+=+%284+%2B-+20%29%2F6+\"
\n" ); document.write( "That would give you the solutions
\n" ); document.write( "\"x=%284%2B20%29%2F6=24%2F6=4\" and \"x=%284-20%29%2F6=-16%2F6=-8%2F3\"
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