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Math Help - Why is the same variable capable of expressing 2 different numbers?

  1. #1
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    Why is the same variable capable of expressing 2 different numbers?

    That is, why is x capable of being 2 and 5 -say as roots in a quadratic? Why not label one x and the other k or something? I would offer a solution but I'm honestly a bit stumped by this.
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  2. #2
    Master Of Puppets
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    Let's say your equation is \displaystyle x^2-7x+10 = 0 \implies (x-2)(x-5)=0 then \displaystyle x = 2,5

    How could we introduce k ?
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  3. #3
    Super Member TheChaz's Avatar
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    \displaystyle x^2-7x+10 = 0 \implies (x-2)(x-5)=0 then we could write \displaystyle x_1 = 2; x_2 = 5
    well, a psuedo-quote!
    It is not uncommon to have the specific x-values of the intercepts thus labeled.
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