May 7, 2015 · $\log_2 (3) \approx 1.58496$ as you can easily verify. $ (\log_2 (3))^2 \approx (1.58496)^2 \approx 2.51211$. $2 \log_2 (3) \approx 2 \cdot 1.58496 \approx 3.16992$. $2^ …

Nov 17, 2013 · That's because the $9$ on the right hand side could have come from squaring a $3$ or from squaring a $-3$. So, when you square both sides of an equation, you can get …

Jan 2, 2022 · we can square both side like this: $ x^2= 2$ But I don't understand why that it's okay to square both sides. What I learned is that adding, subtracting, multiplying, or dividing both …

Apr 20, 2016 · I understand that you can't really square on both the sides like I did in the first step, however, if this is not the way to do it, then how can you really solve an equation like this one …

May 26, 2020 · I took a look at square root. Squaring the number means x^2. And if I understood the square root correctly it does a bit inverse of squaring a number and gets back the x. I had …

7 Short answer: We can't simply square both sides because that's exactly what we're trying to prove: $$0 < a < b \implies a^2 < b^2$$ More somewhat related details: I think it may be a …

Dec 31, 2025 · Which integers can be written as the sum of two fifth powers minus a perfect square? In particular, does the equation $3 + n^2 = a^5 + b^5$ have a solution with integer …

A key feature of least squares (which a median-based approach lacks) is that it is unbiased, i.e., the sum of the errors is zero. By the Gauss-Markov Theorem, least-squares is the best linear …

Oct 17, 2014 · What is the appropriate parametric equation of the boundary of a square? For example, the unit circle has a parametric equation $x(t)=\\cos(t)$ and $y(t)=\\sin(t)$.

4 days ago · Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, …