2022-10-30 14:23:56 +0200 received badge ● Notable Question (source) 2022-02-18 19:30:08 +0200 received badge ● Popular Question (source) 2021-07-20 15:57:00 +0200 commented answer Solving equations in SageMath By the way, what if I wanted to solve for two variables, meaning I wanted to check if for different $\sigma_1$ and $\sig 2021-07-20 15:56:36 +0200 commented answer Solving equations in SageMath By the way, what if I wanted to solve for two variables, meaning I wanted to check if for different$\sigma_1$and$\sig 2021-07-20 15:39:21 +0200 commented answer Solving equations in SageMath Thanks, that worked!! 2021-07-20 15:39:09 +0200 marked best answer Solving equations in SageMath Hey! I'm new to sage and I'm trying to see how complex are the calculations that I can express in SageMath. So I considered the following example, the comparison between the likelihood of two normals with different means but same variance: $$\dfrac{1}{\sigma\sqrt{2\pi} } \exp{\left(-\dfrac{(x-\mu_1)^2}{2\sigma^2}\right)} = \dfrac{1}{\sigma\sqrt{2\pi} } \exp{\left(-\dfrac{(x-\mu_2)^2}{2\sigma^2}\right)}$$ I know that the answer must be $\mu_1 = \mu_2$. Can I solve it with SageMath? I tried: x, mu1, mu2, sigma = var('x, mu1, mu2, sigma') exp((0.5/sigma)*(x-mu1)^2)==exp((0.5/sigma)*(x-mu2)^2)  and solve(exp((0.5/sigma)*(x-mu1)^2)==exp((0.5/sigma)*(x-mu2)^2))  but that doesn't seem to work. Is it possible to do so in sagemath? Thanks!! 2021-07-20 15:39:09 +0200 received badge ● Scholar (source) 2021-07-20 15:39:09 +0200 received badge ● Supporter (source) 2021-07-19 23:28:54 +0200 received badge ● Student (source) 2021-07-19 22:54:05 +0200 asked a question Solving equations in SageMath Solving equations in SageMath Hey! I'm new to sage and I'm trying to see how complex are the calculations that I can exp