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

1. ## 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.

2. 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 $k$ ?

3. $\displaystyle x^2-7x+10 = 0 \implies (x-2)(x-5)=0$ 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.