How do you know that it is clever to expand (2x)500? For example, I tried to expand x2.
Is this the correct way?
x1000=x(2x)500-2998x2
(2x)500x1000=(2x)500x(2x)500-(2x)5002998x2
2500x1500-21000x1001+21498x502=0
x2(2500x1498-21000x999+21498x500)=0
Okay, clearly x = 0 is a solution...
Homework Statement
x1000 = x(2x)500-2998x2
Okay. This is difficult. It is easy to notice that the solutions are x=0 and x=2 but how do you prove that? I have tried to resolve it in different ways with no luck at all. Maybe I haven´t noticed something. Any ideas? This is Finnish final...