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A slight anomaly in a question regarding real numbers
The leftmost digit of the decimal representations of the natural
numbers $2^n$ and $5^n$ is the same. Prove that such digit is equal to $3$.
I wanted to see some pattern in the given question(so as ...
3
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1
answer
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Finding all real $(a,b,c)$ satisfying $a+b+c=\frac1{a}+\frac1{b}+\frac1{c}$ and $a^2+b^2+c^2=\frac1{a^2}+\frac1{b^2}+\frac1{c^2}$
I have been trying to find my error in the following question for a while, but am yet to succeed:
Find all triples $(a,b,c)$ of real numbers that satisfy the system of equations:
$$\begin{align}
a+b+...
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