Rozwiaz rownanie: 2x^3-4x^2-4x+8=0
^potega
2x^3-4x^2-4x+8=0
2x^3-4x^2-4x=-8
2x(x^2-2x-2)=-* /:(x^2-2x-2)
2x= /:2
x=1/2 ()
x^2(2x-4)-2(2x-4)=0 -----> (x^2-2)(2x-4)=0
(x -pierwiastek z 2)(x+ pierwaistek z 2)(2x-4)=0
rowanie spelnione gdy :
x1=2 x2=pierw.z 2 x3=- pierw.z 2
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2x^3-4x^2-4x+8=0
2x^3-4x^2-4x=-8
2x(x^2-2x-2)=-* /:(x^2-2x-2)
2x= /:2
x=1/2 ()
2x^3-4x^2-4x+8=0
x^2(2x-4)-2(2x-4)=0 -----> (x^2-2)(2x-4)=0
(x -pierwiastek z 2)(x+ pierwaistek z 2)(2x-4)=0
rowanie spelnione gdy :
x1=2 x2=pierw.z 2 x3=- pierw.z 2