document.write( "Question 54370: The sum of the areas of two squares is 225. If one square is 3 units larger per side then the other, find the sizes of the squares. \n" ); document.write( "
Algebra.Com's Answer #36660 by ankor@dixie-net.com(22740)\"\" \"About 
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\" one square is 3 units larger per side then the other, find the sizes of the squares.\"
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\n" ); document.write( "Small square side = x; then larger square side = (x+3)
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\n" ); document.write( "\"The sum of the areas of two squares is 225\".
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\n" ); document.write( " x^2 + (x+3)^2 = 225
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\n" ); document.write( "x^2 + (x^2 + 6x + 9 = 225; FOILed (x+3)^2
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\n" ); document.write( "x^2 + x^2 + 6x + 9 - 225 = 0
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\n" ); document.write( "2x^2 + 6x - 216 = 0
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\n" ); document.write( "x^2 + 3x - 108 = 0; Simplified, divide equation by 2
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\n" ); document.write( "Factors to:
\n" ); document.write( "(x + 12)(x - 9) = 0
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\n" ); document.write( "x = +9, positive solution is what we want here
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\n" ); document.write( "Check:
\n" ); document.write( "x^2 + (x+3)^2 = 225
\n" ); document.write( "9^2 + (9+3)^2 =
\n" ); document.write( "81 + 144 = 225 \n" ); document.write( "
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