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John

11/03/2017 at 07:26
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Let a, b and c be constants, find all solutions of the following equation:

   \(\left(x-a\right)\left(x-b\right)=\left(c-a\right)\left(c-b\right)\)


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    mathlove 11/03/2017 at 11:05

    x = c is a solution of the equation. 

    The equation is writed by  \(x^2-\left(a+b\right)x+c\left(a+b-c\right)=0\) . By the theorem Viette, the rest solution is  \(x=a+b-c\) .

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    FA KAKALOTS 28/01/2018 at 22:11

    x = c is a solution of the equation. 

    The equation is writed by  x2−(a+b)x+c(a+b−c)=0

     . By the theorem Viette, the rest solution is  x=a+b−c .



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