Rozwiąż równanie

[mariusz48]

\(\displaystyle{ 2x ^{3} -x ^{2} -18x+9=0}\)

[Lbubsazob]

\(\displaystyle{ x^2 \left(2x-1 \right)-9 \left(2x-1 \right) = \left(x^2-9 \right) \left(2x-1 \right)}\)

[agulka1987]

\(\displaystyle{ x^2(2x-1)-9(2x-1)=0}\)

\(\displaystyle{ (2x-1)(x^2-9)=0}\)

\(\displaystyle{ (2x-1)(x-3)(x+3)=0}\)

\(\displaystyle{ x= \frac{1}{2} \vee x=3 \vee x=-3}\)

[marseel]

\(\displaystyle{ 2x ^{3} -x ^{2} -18x+9 = (x-3) (x+3) (2 x-1) = 0 \Leftrightarrow x = \frac{1}{2} \vee x = -3 \vee x = 3}\)