Question

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

Answer 1

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