Pregunta
Solutia ecuatiei:
2x^3 - 3x^2 +1 = 0
2x^3 - 3x^2 +1 = 0
Perguntado por: USER9725
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42 Respuestas
Respuesta (42)
2x^3 - 3x^2 +1 = 0
2x^3 -2x^2 -x^2 +x-x+1=0
(2x^3 -2x^2)-(x^2 -x)-(x-1)=0
(2x^2)(x-1)-x(x-1)-(x-1)=0
x-1 factor comun:
(x-1)(2x^2 -x-1)=0
(x-1)(x-1)(2x+1)=0
(x-1)^2 *(2x+1)=0
x1=x2=1 si x3=-1/2
2x^3 -2x^2 -x^2 +x-x+1=0
(2x^3 -2x^2)-(x^2 -x)-(x-1)=0
(2x^2)(x-1)-x(x-1)-(x-1)=0
x-1 factor comun:
(x-1)(2x^2 -x-1)=0
(x-1)(x-1)(2x+1)=0
(x-1)^2 *(2x+1)=0
x1=x2=1 si x3=-1/2