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By the way, what if I wanted to solve for two variables, meaning I wanted to check if for different $\sigma_1$ and $\sig

By the way, what if I wanted to solve for two variables, meaning I wanted to check if for different $\sigma_1$ and $\sig

Thanks, that worked!!

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!!

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