Mathematics, 21.01.2020 03:31 gmoney58
Find the solutions of the equation x4 − 2x3 − x2 + 2x = 0. (enter your answers as a comma-separated list.)
Answers: 3
![x^{4}-2x^{3}- x^{2} + 2x = 0\\x(x^{3}-2x^{2}-x+2)=0 \:Factoring \:out\\x[(x^{3}-2x^{2})+(-x+2)]=0 \:Grouping\\x[\mathbf{x^{2}}(x-2)+\mathbf{-1}(x+2)]=0 \:Rewriting\:the\:first\:factor\\x(x^{2}-1)(x-2)\:Expanding \:the \:first \:factor\\x(x-1)(x+1)(x-2)=0\\x=0,x=1,x=-1,x=2\\S=\left \{ 0,-1,1,2 \right \}](/tpl/images/0463/4725/b8776.png)
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Find the solutions of the equation x4 − 2x3 − x2 + 2x = 0. (enter your answers as a comma-separated...
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