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On the joint numerical range of a pair of symmetric matrices

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#linear-algebra #optimization #matrix-decomposition #positive-semidefinite #common-root
51
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Perturbed polynomials

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#linear-algebra #polynomials #common-root
125
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If a quadratic equation can have real and equal roots, then why don't we say it has one root?

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#polynomials #roots #quadratics #quadratic-forms #common-root
173
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Common complex roots

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#algebra-precalculus #roots #quadratics #common-root
117
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Common root between quadratic

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#algebra-precalculus #functions #quadratics #common-root
193
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Can one extend the domain of the square root $\sqrt{\cdot}$ to $\mathbb R$?

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#functions #common-root
213
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Do two polynomials $A$ and $B$ share a root when $AP+BQ=0$ for some polynomials $(P,Q) \neq (0, 0)$ with $\deg P < \deg B$, $\deg Q < \deg A$?

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#linear-algebra #polynomials #resultant #common-root
113
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show that two rational functions do not have a root in common

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#roots #rational-functions #common-root
437
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numerically solving a system of multivariate polynomials

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#numerical-methods #roots #groebner-basis #multivariate-polynomial #common-root
64
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Roots with same size for polynomials with distinct degrees

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#calculus #complex-analysis #polynomials #roots #common-root
102
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Why do we need Bezout's Theorem in this statement?

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#algebraic-geometry #polynomials #divisibility #common-root
217
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Solution verification on a question about polynomials and the midpoints of their intersection

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#polynomials #solution-verification #common-root
94
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Find exact roots of $\sqrt{4+x}+\sqrt{1-x}=x^2+3$

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#roots #common-root
45
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Common root of two equation

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#common-root

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