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x-3-1-x-1-x-2-x-1-x-1-and-x-1-3-i-2-w-1-2-3-i-2-and-w-2-1-2-3-2-i-w-3-1-similarly-x-3-1-0-x-1-and-x-w-2-and-x-w-




Question Number 191640 by vishal1234 last updated on 28/Apr/23
x^3 −1 = (x−1) (x^2 +x+1)  ⇒ x = 1 and x = ((−1±(√3) i)/2)  ⇒ w = −(1/2) + (((√3)i )/2) and w^2  = −(1/2) − ((√3)/2) i  ⇒ w^3  = 1  similarly x^3  + 1= 0  ⇒ x = −1 and x =−w^2  and x = −w
x31=(x1)(x2+x+1)x=1andx=1±3i2w=12+3i2andw2=1232iw3=1similarlyx3+1=0x=1andx=w2andx=w
Commented by a.lgnaoui last updated on 28/Apr/23
w=−(1/2)+((√3)/2)i=j      (j=e^(i((2𝛑)/3)) )
w=12+32i=j(j=ei2π3)

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