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While finding the amount of seed needed to plant his three square wheat fields,
\n" ); document.write( " Hank observed that the side of one field was 1 kilometer longer than the side
\n" ); document.write( " of the smallest field and that the side of the largest field was 3 kilometers longer than the side of the smallest field. If the total area of the three
\n" ); document.write( " fields is 38 square kilometers, then what is the area of each field?
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\n" ); document.write( "I understand x^2 , x+1, x+3, however, when I write the equation to separate I cannot get to area of each field if total is 38.
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\n" ); document.write( "I think it should be:
\n" ); document.write( "x^2 + (x+1)^2 + (x+3)^2 = 38
\n" ); document.write( "FOIL
\n" ); document.write( "x^2 + x^2 + 2x + 1 + x^2 + 6x + 9 = 38
\n" ); document.write( "Combine like terms
\n" ); document.write( "3x^2 + 8x + 10 = 38
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\n" ); document.write( "3x^2 + 8x + 10 - 38 = 0
\n" ); document.write( ":
\n" ); document.write( "3x^2 + 8x - 28 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(3x + 14)(x - 2) = 0
\n" ); document.write( "Positive solution
\n" ); document.write( "x = 2 km
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\n" ); document.write( "The three field sides, 2, 3, 5
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\n" ); document.write( "Check:
\n" ); document.write( "2^2 + 3^2 + 5^2 = 38 \n" ); document.write( "