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Guessing one root of a cubic equation for Hit and Trial

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#algebra-precalculus #polynomials #roots #cubics
8k
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Find the cubic equation of roots $α, β, γ$.

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#polynomials #roots #cubics
602
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Is a polynomial $f$ zero at $(a_1,\ldots,a_n)$ iff $f$ lies in the ideal $(X_1-a_1,\ldots,X_n-a_n)$?

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#abstract-algebra #polynomials #ideals #roots
202
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$k2^x+2^x=8$, find the possible values of $k$

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#algebra-precalculus #exponential-function #roots
178
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Can the roots of $f(x)=x^4-x^3+2x^2-x-1$ be found algebraically?

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#calculus #algebra-precalculus #functions #polynomials #roots
6k
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Nature of roots of a biquadratic equation

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#algebra-precalculus #polynomials #roots #graphing-functions #irreducible-polynomials
308
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Fourth root of unknown positive constant-4th order DE

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#ordinary-differential-equations #roots
1.4k
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Prove that $\sin x - x\cos x = 0$ has only one solution in $ [-\frac{\pi}{2}, \frac{\pi}{2}]$

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#calculus #trigonometry #roots
938
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What is the solution to the equation $9^x - 6^x - 2\cdot 4^x = 0 $?

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#algebra-precalculus #logarithms #roots #exponentiation
2.1k
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Relation between coefficients of a quadratic if one root is the square of the other.

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#algebra-precalculus #roots #quadratics
2.6k
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Finding the root for a multivariate function.

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#roots #nonlinear-optimization #multivalued-functions
88
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Showing that the roots of the quadratic are real

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#polynomials #roots #quadratics
3.3k
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Negative roots of a cubic equation

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#arithmetic #roots #radicals
507
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Find coefficients of polynomials $f(x)=x^2+ax+b$ and $g(x)=x^2+cx+d$ $(a,b,c,d \in \mathbb{R})$

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#polynomials #roots
261
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Solving for $x$ : $a^x+b^x=c$

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#algebra-precalculus #logarithms #exponential-function #roots #newton-raphson

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