Andy C. answered 09/19/18
Tutor
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Math/Physics Tutor
w(3w-8) = 3.5
3w^2 - 8w - 3.5 = 0
30w^2 - 80w - 35 = 0
6w^2 - 16w - 7 = 0
w = [16 +or- sqrt ( 256 + 4*6*7)]/12
(4/3) +or- sqrt(256 + 126)/12
(4/3) +or- sqrt( 382)/12
(4/3) +or- sqrt( 2*191) / 12