Pre-Calculus 12

Solve the polynomial equation.
2x^3 - 13x^2 + 32x - 13 = 0

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  1. 2x^3-x^2-12x^2+6x+26x-13=0
    x^2(2x-1)-6x(2x-1)+13(2x-1)=0
    (2x-1)(x2-6x+13)
    (2x-1)(3±2i)=0

    Taking the first equation (2x-1),

    2x=1
    x=1/2

    (x2-6x+13) cannot be factorized so x=1/2 is the answer.

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