- #1
FeDeX_LaTeX
Gold Member
- 437
- 13
Hello;
I don't know how to prove this conjecture I've made;
For the polynomial equation
[tex]-\sum_{n=0}^{\infty}k^{n}=0[/tex]
there exist no real solutions greater than 2, no matter how large the value of n.
How do I show that this is true?
If it's a little unclear, what I mean is, for example, if you had the equation
k^30 - k^29 - k^28 ... - k - 1 = 0, k doesn't exceed 2.
So even if you start from 1000, or 100000000000, or any number, you will never find a solution greater than 2.
Thanks.
I don't know how to prove this conjecture I've made;
For the polynomial equation
[tex]-\sum_{n=0}^{\infty}k^{n}=0[/tex]
there exist no real solutions greater than 2, no matter how large the value of n.
How do I show that this is true?
If it's a little unclear, what I mean is, for example, if you had the equation
k^30 - k^29 - k^28 ... - k - 1 = 0, k doesn't exceed 2.
So even if you start from 1000, or 100000000000, or any number, you will never find a solution greater than 2.
Thanks.