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Determining the number of real roots of a certain function

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#polynomials #roots
52
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Show that $c^2 + a^2d=abc$ for a monic quartic polynomial

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#polynomials #complex-numbers #roots
217
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Fundamental theorem of algebra and quaternions

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#functions #roots #quaternions
77
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Show that $\psi(n)$ has finitely many roots

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#calculus #algebra-precalculus #elementary-number-theory #roots #special-functions
197
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Why is $49^{-\frac{1}{2}}=\frac{1}{7}$?

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#algebra-precalculus #roots #exponentiation
313
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How to show that two trigonometric polynomials of degree $n$ combined have at most $2n$ zeros?

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#real-analysis #trigonometry #polynomials #roots
418
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What is the correct way to solve the equation: $x^4-x^3+x^2-x+1=0$

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#algebra-precalculus #polynomials #roots
47
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New roots from old

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#roots
58
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Number of roots of $p_n-\lambda p_{n-1}$ where $p_n$ are orthogonal polynomials

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#functional-analysis #polynomials #roots #orthogonal-polynomials
548
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Show that Roots of Orthogonal Polynomials are interlaced.

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#functional-analysis #polynomials #roots #orthogonal-polynomials
22
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New roots from old quadratic with coefficient p

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#roots
47
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Roots of an equation - Exponential

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#polynomials #roots
85
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The set of values of $a$ for which $x^4+4x^3+ax^2+4x+1=0$ has real roots

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#roots #quartics
98
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Solving polynominals equations (relationship of roots)

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#polynomials #roots
60
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For what constant $c$ does Struve function $\mathbf{H}_1(x) = c$ have infinitely many roots?

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#roots #special-functions #bessel-functions #constants

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