Math Diversities: 4 Solutions to 10X=4X

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SUMMARY

The equation 10X = 4X has a definitive solution: X = 0. The other proposed solutions, including 10 = 4 and differentiating or integrating, are invalid and indicate a misunderstanding of basic mathematical principles. Specifically, choice 2 leads to a contradiction by dividing by zero, while choices 3 and 4 misinterpret the nature of the equation as conditional rather than universally true. Therefore, the only acceptable solution is X = 0.

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alionalizoti
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I'm interested to find out how many people would agree on several quick solutions:

10X = 4X

1) X = 0

2) 10 = 4 (!?)

3) 10 = 4 (differentiating !?)

4) or integrating ... (1?)
 
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Huh ?

I agree that 1) is a solution to 10x = 4x, but as for the rest I have no idea what you are talking about.
 
alionalizoti said:
I'm interested to find out how many people would agree on several quick solutions:

10X = 4X

1) X = 0

2) 10 = 4 (!?)

3) 10 = 4 (differentiating !?)

4) or integrating ... (1?)

The only reasonable choice is answer 1.

The other choices indicate a lack of knowledge in fairly basic mathematics.
Choice 2 is not reasonable because it results in a contradiction. In this case, dividing by x is dividing by zero.
Choice 3 is not reasonable because the equation you start with is a conditional equation (i.e., true only for a specific value or values), not one that is identically true.
Choice 4 is not reasonable for the same reason.
 
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