SOLUTION: Winter Wheat question: WHile finding the amount of seed needed to plant his three square wheat fields, Hank observed that the side of one field was 1 Kilometer longer than the side

Question 239003: Winter Wheat question: WHile finding the amount of seed needed to plant his three square wheat fields, Hank observed that the side of one field was 1 Kilometer longer than the side of the smallest field and that the side of the largest field was 3 kilometer longer than the side of the smallest field. If the total area of the three fields is 38 square kilometers, then what is the area of each field?
x^2+(x+1)^2=(x+3)^2=38
Used the foil method to solve (x+1)(x+1) and (x+3)(x+3)
x^2+x^2+2x+1+x^2+6x+9=38
3x^2+8x+10=38
3x^2+8x-28=0
I know this is wrong because I can't solve.
Any suggestions?

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
(3x + 14) (x - 2) = 0
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