The discussion revolves around the equation 2x = x² and the solutions x = 2 and x = 0. Participants explore the validity of both solutions and the implications of dividing by a variable.
There is an ongoing exploration of the relationship between the two solutions. Some participants express confusion about the distinction between the equations 2x = x² and x = 2, noting that they have different solution sets. Clarifications regarding the implications of division by zero have been raised, contributing to a deeper understanding of the problem.
Participants mention the need for both solutions in the context of finding upper and lower limits for integration, indicating a specific application of the solutions in a broader mathematical context.
christian0710 said:I see so you obtain that if x=0 you get 2*0=^2 and that's why x=0 is an equation?
But if we started with the equation x=2, then i assume you can't say x=2 and x=0, is that correctly understood? I needed both solutions because i was finding the upper and lower limits for integration, but just confues about the fact that x=2 also has x=0 as solution.
If x = 0, you get 2*0 = 02, so x = 0 is a solution to the original equation.christian0710 said:I see so you obtain that if x=0 you get 2*0=^2 and that's why x=0 is an equation?
The only possible replacement for x in the equation x = 2 is 2. That's the only value that makes the equation x = 2 a true statement.christian0710 said:But if we started with the equation x=2, then i assume you can't say x=2 and x=0, is that correctly understood?
The equation x = 2 does NOT have x = 0 as a solution. The equation 2x = x2 DOES have x = 0 (and x = 2) as a solution.christian0710 said:I needed both solutions because i was finding the upper and lower limits for integration, but just confues about the fact that x=2 also has x=0 as solution.
christian0710 said:Thank you so much, now it's clear! Very clear :D