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28 January, 01:22

Find the zeros (roots) of the following equations.

f (x) = 2x5 - 9x4 + 12x3 - 12x2 + 10x - 3 = 0

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  1. 28 January, 01:31
    0
    Hello,

    f (1) = 2-9+12-12+10-3=0 = = = > (x-1) * ...

    f (3) = 2*3^5-9*3^4+12*3^3-12*3^2+10*3-3=0 = = = > (x-3) * ...

    f (1/2) = 2 * (1/2) ^5-9 * (1/2) ^4+12 * (1/2) ^3-12 * (1/2) ^2+10*1/2-3=0 = = = > (2x-1) * ...

    f (x) = (x-1) (x-3) * (2x-1) * (x²+1)

    In C, x=i ou x=-i

    Zeros are 1/2,1,3, i,-i
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