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Finding complex roots, specifically theta

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#complex-numbers #roots
334
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How do I find $\sqrt[3]{-i}$?

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#complex-numbers #roots
72
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Proving roots to be real

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#roots #quadratics
655
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Patterns of coefficients.

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#polynomials #roots
107
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Find the value of "n" in terms of "a" when $\sqrt[n]{a+{\sqrt[n]{a+{\sqrt[n]{a+{\sqrt[n]{a+\cdots}}}}}}} = a$

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#roots
115
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Lower bound on absolute smallest root of a polynomial

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#polynomials #roots #upper-lower-bounds
552
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Rolle's theorem on $e^x\sin x-1=0$

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#calculus #real-analysis #functions #roots #rolles-theorem
136
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Finding remaining polynomial after finding complex factors

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#polynomials #complex-numbers #roots
556
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Express polynomial as a product of real quadratic polynomials with no real roots

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#polynomials #roots
60
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Find the roots (real or complex) of the equation $2a^2(1+\cos x) - (1+a^2 +b^2)^2 = 0$, $a,b\in \mathbb{R}$.

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#trigonometry #complex-numbers #roots #inverse-function
23
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$e^y = x-r$ , $r \in \mathbb{Z}^+$ has one real root only and state the range of $r$.

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#calculus #functions #logarithms #roots #graphing-functions
443
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How many roots does the equation $z^{2018}=2018^{2018}+i$ have?

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#complex-numbers #roots
70
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Solve the equation $F(x,y) =2x^3 - 2y^3 + 3x^2y + 3y$ and define the stationary points

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#calculus #polynomials #roots
42
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Number of positive real roots of $t \mapsto c_1 e^{-2t} + c_2/t^2 + c_3 / \sinh^2(t)$

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#real-analysis #roots
40
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Poles of alternating series

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#real-analysis #power-series #roots #laurent-series #absolute-convergence

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