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Extremas of rational functions

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#quadratics #rational-functions #discriminant
76
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How bistable is my system?

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#ordinary-differential-equations #nonlinear-system #stability-theory #discriminant
89
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Find the range of values k can take for $kx^2 + 2x + 1 - k = 0$ to have two real distinct roots

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#discriminant
85
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find the maximum value of $A$ satisfying the following inequality $3x^2+y^2+1\ge A(x^2+xy+x)$

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#number-theory #inequality #quadratics #discriminant
148
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Discriminant divisible by prime iff minimal polynomials reduction mod p has multiple roots

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#number-theory #algebraic-number-theory #extension-field #minimal-polynomials #discriminant
86
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Do simple roots on most slices imply a polynomial is square free?

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#algebraic-geometry #polynomials #roots #discriminant
42
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Is there a relation between the polynomial discriminant and the formula used to solve equations upto degree 4?

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#polynomials #discriminant
48
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$\frac{1}{9-ab}+\frac{1}{9-bc}+\frac{1}{9-ca} \leq \frac{3}{8}.$

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#inequality #proof-explanation #quadratics #discriminant #rearrangement-inequality
88
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Help to prove $\frac{a^3b+b^3c+c^3a}{a+b+c}+1\ge 2\sqrt{\frac{a^2b^2+b^2c^2+c^2a^2}{a+b+c}}$.

Published on
#inequality #quadratics #a.m.-g.m.-inequality #discriminant #buffalo-way
78
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Discriminant of numbers

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#number-theory #cyclotomic-polynomials #discriminant #q-analogs
109
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Why do we need $N$ large in Marcus $3.21$?

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#number-theory #galois-theory #algebraic-number-theory #discriminant
82
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Discriminant of $x^n+a$

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#polynomials #discriminant
65
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Prove the sign and zeroes of $Ax^2 + 2Bxy + Cy^2$ (without using the second derivative test)

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#calculus #multivariable-calculus #polynomials #optimization #discriminant
34
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the degree of the discriminant of a cubic irreducibble polynomial over the rational adjoint a root

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#extension-field #discriminant
164
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Discriminant of $\sum_{k=0}^n x^k$

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#linear-algebra #determinant #discriminant

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