(ii) Show that the equation 2x + 4 = (x – 1)(x – 2) has only one real root​

Question

(ii) Show that the equation
2x + 4 = (x – 1)(x – 2) has only
one real root​

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Reagan 3 months 2021-10-16T08:42:00+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-10-16T08:43:20+00:00

    It doesn’t, actually.

    Expang the right hand side to get

    (x-1)(x-2)=x^2-3x+2

    So, the equation becomes

    2x+4=x^2-3x+2

    Move everything to one side to get

    x^2-5x-2=0

    This equation has solutions

    x_{1,2}=\dfrac{5\pm\sqrt{33}}{2}

    Which are actually two different real roots.

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