determine all the roots of f(t)=9t^3-18t^2+6t

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11-06-2017
Mathematics

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determine all the roots of f(t)=9t^3-18t^2+6t

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ghanami ghanami · Answer 1 · 2017-06-11T11:01:04+02:00

ghanami ghanami

11-06-2017

hello :
f(t) = 0 : 3t(3t²-6t+2) = 0
(t=0) or (3t²-6t+2 = 0 )
Δ = b²-4ac .... a=3 b=-6 c=2
Δ = (-6)²-4(3)(2) =36-24 =12 =(2√3)²
x1 =( 6-2√3)/6 .... x2 =( 6+2√3)/6
the roots are : 0 , ( 6-2√3)/6 , ( 6+2√3)/6

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