SOLUTION: find the exact area of a triangle whose side lengths are the roots of x^3-18x+105x-200
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Question 1000047
:
find the exact area of a triangle whose side lengths are the roots of
x^3-18x+105x-200
Answer by
fractalier(6550)
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If you factor this you will get
x^3-18x+105x-200 = (x-8)(x-5)(x-5)
Setting this equal to zero, yields side lengths of 5 and 8.
Since A = (1/2)bh = (1/2)(5)(8) = 20