Question

11t^3+27t^2+22t+6=0

Rezolvati ecuatia.

Answer 1

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Answer 2

[tex]11t^3+27t^2+22t+6=0\\ 11t^3+11t^2+16t^2+16t+6t+6=0\\ 11t^2(t+1)+16t(t+1)+6(t+1)=0\\ (t+1)(11t^2+16t+6)=0\\ i)t+1=0\Rightarrow t=-1\\ ii)11t^2+16t+6=0\\ \Delta=256-24\cdot 11=256-264=-8\ \textless \ 0\\ \text{Deci singura solutie este -1.}[/tex]