Mathematics
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kt046172
  • Member for 5 years, 1 month
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Score Newest
question
4
Volumes by Slices
Feb 11, 2021
question
4
How to evaluate discriminant of $x^3 +px+q$ given its roots?
Mar 26, 2020
question
4
Prove that $\sqrt[3]{18 + \sqrt{325}} + \sqrt[3]{18 - \sqrt{325}} = 3$ without using Cardano's formula. (Hint, what is $(3\pm \sqrt{13})^3$
Jan 14, 2020
question
2
Consider the polynomial $x^3+2x^2-5x+1$ with roots $\alpha$ and $\alpha^2+2\alpha-4$. Find the third root in terms of $\alpha$
Apr 27, 2020
question
2
Let $x_1 \in C$ and let $x_2 \in int(C)$ (interior). Show that for every $\lambda \in (0,1], x = (1-\lambda)x_1 + \lambda x_2 \in int(C).$
Apr 22, 2020
question
1
Prove that $\mathbb{Q}[\sqrt{3}, \sqrt{5}] = \mathbb{Q}[\sqrt{3}+ \sqrt{5}]$ [duplicate]
Apr 9, 2020
question
1
show that $f(x, y) = (\cos(y), \frac{x^2}{3})$ is a contraction and has a fixed point.
Apr 2, 2020
question
1
Find $Gal(\mathbb{Q}[\sqrt{13}, \sqrt{17}]/\mathbb{Q})$ and explicitly determine the intermediate subfields
Apr 2, 2020
question
1
Find the Galois group $Gal(\mathbb{Q}[\sqrt{2}]/\mathbb{Q})$ and determine all intermediate subfields explicitly.
Mar 31, 2020
question
1
Let $\omega = e^{\frac{2\pi i}{5}}$. Determine the Galois group $G = Gal(K/\mathbb{Q})$ [duplicate]
Mar 31, 2020

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