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(D)
The products of three consecutive odd numbers is 357 627. What is their sum?
(A) 213
(B)243
(C)153
(D) 209
(AMTI 2005
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Answer:
=X(x-2)(x+2)=357 627
=X(x^2-4)=357 627
=x^3-4x=357 627
=x^3-4x-357 627=0
solving with this cubic equation we get X=71
so the numbers are
X-2=69
X=71
X+2=73
Therefore the sum is 213
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