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8 July, 07:12

Use the x-intercept method to find all real solutions of the equation. x^3-8x^2+17x-10=0

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  1. 8 July, 09:28
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    F (2) = 8 - 32 + 34 - 10 = 0

    so one real solution is x = 2 and x - 2 is a factor.,

    Dividing the function by x - 2 gives

    x^2 - 6x + 5

    x^2 - 6x + 5 = 0

    (x - 5) (x - 1) = 0

    x = 1, 5

    All real roots are 1,2 and 5.
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