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How to prove the equations have only one real solution?

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#analysis #inequality #roots #rearrangement-inequality
142
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Unsure about how to get intervals for roots for intermediate value theorem

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#calculus #limits #roots
62
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Using the $n$-roots of unity to do the reduction modulo $n$

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#roots #integers
62
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Is there a function that can cancel a square of a number, preserving its initial value?

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#functions #roots #square-numbers
92
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Infinite roots inside roots

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#sequences-and-series #algebra-precalculus #limits #roots #infinite-product
197
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Area of a Hexagon in the Complex Plane given by the solutions of $x^6+x-1=0$

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#geometry #polynomials #complex-numbers #roots
44
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In $f(x)= (x-a_1)(x-a_2)(x-a_3)$, why are the only roots $a_1,a_2,$ and $a_3$ over a prime modulus?

Published on
#polynomials #modular-arithmetic #roots #integral-domain
97
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Representing a Quintic Polynomial as the Product of its Linear Factors

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#polynomials #galois-theory #roots
46
Views

Proof of conditions for polynomials

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#polynomials #roots #cubics #arithmetic-progressions #geometric-progressions
31
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Why if $P(x) = (x-a)Q(x)$ where $Q(x)$ is linear, $P(x)$ must have $2$ roots over prime modulus?

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#polynomials #modular-arithmetic #roots #factoring
28
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Succesive bissection method

Published on
#numerical-methods #roots
95
Views

Comparing area of triangles

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#roots #area #tangent-line
85
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Uniform continuity of the roots of polynomials

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#complex-analysis #polynomials #roots #uniform-continuity #symmetric-polynomials
44
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Prove a relation between the coefficients of a depressed cubic.

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#roots #cubics
127
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Bound for Gaussian convolution roots

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#real-analysis #roots #convolution #heat-equation

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