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The real roots of $(x-41)^{49}+(x-49)^{41}+(x-2009)^{2009}$

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Counting roots of sums of sigmoids

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1.4k
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Determine the number of zeros of the polynomial $f(z)=z^{3}-2z-3$ in the region $A= \{ z : \Re(z) > 0, |\Im(z)| < \Re(z) \}$

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#complex-analysis #roots
814
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Polynomial Functions - Rational Root Theorem to find Zeros

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#polynomials #roots
353
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Don't know how to find all the roots

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#complex-numbers #roots
13.9k
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Finding the discriminant and roots of a polynomial

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#algebra-precalculus #polynomials #roots #quadratics
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Solve $x+y+z = x^3 + y^3 + z^3 = 8$ in $\mathbb{Z}$

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#number-theory #functions #roots #diophantine-equations #factoring
169
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All the roots of $(x^2+1)^2 = x(3x^2+4x+3)$

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25k
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Roots of biquadratic equation

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898
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How prove this limit $\displaystyle\lim_{n\to \infty}a_{n}=1$

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#sequences-and-series #limits #roots
862
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Help for two values of x

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#algebra-precalculus #polynomials #roots
211
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How to prove $\lim_{n\to \infty}\frac{n}{\ln{n}}(1-a_{n})=1$?

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#sequences-and-series #limits #roots
763
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How prove $\lim_{n\to \infty}\frac{n}{\ln{(\ln{n}})}\left(1-a_{n}-\frac{n}{\ln{n}}\right)=-1$?

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#sequences-and-series #limits #roots
5k
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How do I solve and plot the complex equation

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#complex-analysis #complex-numbers #roots
380
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Finding the zeros of $f(x)=-x^3-x^2+7x+7$

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#algebra-precalculus #polynomials #roots

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