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How the determine the number of real positive roots of a polynomial?

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#polynomials #roots #symbolic-computation
128
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If $ax^2+bx+c=0$ has $2$ roots, one root is twice the other, find expression for $b$

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#roots
91
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Find the coefficients $a$ and $b$ of a polynomial which has a double zero $x=1$

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#algebra-precalculus #polynomials #roots
56
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Question about logs

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#roots
113
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root of the equation $4\sin ^2x +10 x^2=\cos x$

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#real-analysis #trigonometry #roots
73
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Which asymptotics are "better"?

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#asymptotics #roots
147
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Does $\sum (-1)^n p_n$ converge to $0$ for even $n$?

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#sequences-and-series #number-theory #convergence-divergence #prime-numbers #roots
128
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Closed form to exponential equation?

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#number-theory #exponential-function #roots #quadratics #problem-solving
240
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Find a whole number that is both perfect square and cube found between 2000 and 10000

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#roots #exponentiation
123
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Roots of $f(x)=x^3-x^2-2x+1$

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#analysis #polynomials #complex-numbers #roots
435
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Find all the solutions of $z^7=i$

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#complex-analysis #roots #roots-of-unity
434
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Number of roots of $z^4+z^3+4z^2+2z+3=0$ in each quadrants

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#complex-analysis #roots
590
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Roots of $x^3+5x-18=0$ using Cardano's method

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#polynomials #roots #cubics
1.1k
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How to prove that Legendre polynomials satisfy $P_n(x)\leq 1$

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#roots #legendre-polynomials
322
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Comparing largest root of degree three polynomial

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#real-analysis #inequality #polynomials #roots

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