x^2 + (x+1)^2 + (x+3)^2 = 38
expand, simplify, then solve the quadratic equation.
reject one of the answers which will be negative.
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 kilometers longer than the smallest field. If the total area of the three fields is 38 square kilometers, than what is the area of each field?
2 answers
s = side of smallest field
(s+1) = side of middle fiels
(s+3) = side of biggest fiels
so
s^2 + (s+1)^2 + (s+3)^2 - 38 = 0
s^2 + s^2 + 2 s + 1 + s^2 +6 s + 9 - 38 = 0
3 s^2 + 8 s - 28 = 0
(3s+14)(s-2) = 0
s = 2 is positive answer
area of small field = 4
then
s+1 = 3
area of middle size field = 9
s+3 = 5
area of big field = 25
(s+1) = side of middle fiels
(s+3) = side of biggest fiels
so
s^2 + (s+1)^2 + (s+3)^2 - 38 = 0
s^2 + s^2 + 2 s + 1 + s^2 +6 s + 9 - 38 = 0
3 s^2 + 8 s - 28 = 0
(3s+14)(s-2) = 0
s = 2 is positive answer
area of small field = 4
then
s+1 = 3
area of middle size field = 9
s+3 = 5
area of big field = 25
1 answer