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Solve an equation with the form $y=\frac{x^n-1}{x-1} + c$ (finding $r$ in a geometric series)

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#real-analysis #sequences-and-series #algebra-precalculus #roots
105
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Solving complex equasion with 4 roots

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#complex-numbers #roots #polar-coordinates
590
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For every $R>0$, prove that there is a positive integer $n$ such that $1 + z + \frac {z^2}{2!} +...+\frac {z^n}{n!}$ has no zeros in $|z|<R$.

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#complex-analysis #roots
575
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Solving two Cubic Equation on their Roots.

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#algebra-precalculus #polynomials #roots #cubics
133
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Find $\sqrt[4]{2}$ in $\mathbb{Q}_5$ and in $\mathbb{Q}_7$

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#roots #radicals #p-adic-number-theory #valuation-theory
94
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Sum of real roots of two different cubic polynomials

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#polynomials #roots #cubics
646
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2016 AMC 12A #24

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#polynomials #contest-math #roots #cubics
45
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What are these points called?

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#polynomials #roots
183
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How to show that this polynomial has $n$ positive roots?

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#polynomials #roots
113
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Solving $x+y+z+u+t=0$, $x^3+y^3+z^3+u^3+t^3=0$, $x^5+y^5+z^5+u^5+t^5=-10$

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#polynomials #systems-of-equations #roots #symmetric-polynomials #chebyshev-polynomials
1.3k
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How to solve $x^3-x^2+2x-1=0$

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#polynomials #roots
283
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Principal root of the third root of 8

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#roots
338
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Conditions to have a triple root

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#algebra-precalculus #polynomials #roots
45
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finding out the value of the expression

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#algebra-precalculus #polynomials #roots #symmetric-polynomials
1.4k
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Finding real and imaginary roots from polynomials

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#algebra-precalculus #polynomials #roots

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