Respuesta :


[tex]2 {x}^{3} - 5 {x}^{2} + x + 2 = 0[/tex]
[tex]2 {x}^{3} - 4 {x}^{2} - {x}^{2} + 2x - x + 2 = 0[/tex]
[tex]2 {x}^{2} (x - 2) - x(x - 2) - (x - 2) = 0[/tex]
[tex](x - 2)(2 {x}^{2} - x - 1) = 0[/tex]
[tex](x - 2)(2 {x}^{2} - 2x + x - 1) = 0[/tex]
[tex](x - 2)(x - 1)(2x + 1) = 0 [/tex]
[tex]x = 2[/tex]
[tex]x = 1[/tex]
[tex]x = - 0.5[/tex]