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How to solve a quartic equation given that the roots are all part of an arithmetic sequence?

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#arithmetic-progressions #quartics
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Solving $x^2 + 18x + 30 = 2 \sqrt{x^2 + 18x + 45}$? (1983 AIME problem 3)

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#polynomials #contest-math #quadratics #substitution #quartics
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How to find the solutions to $z^4 = -16$

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#polynomials #complex-numbers #quartics
139
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How to solve that?

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#algebra-precalculus #systems-of-equations #radicals #factoring #quartics
98
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How to find the equation of this polynomial

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#algebra-precalculus #polynomials #roots #radicals #quartics
423
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Square inside a triangle problem [see desc.]

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#geometry #euclidean-geometry #triangles #substitution #quartics
57
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To identify the types of roots

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#polynomials #quadratics #factoring #substitution #quartics
612
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Can I use Newton's method to obtain smallest positive real solution of a quartic?

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#numerical-methods #newton-raphson #quartics
82
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Largest rectangle that can be inscribed within a higher degree polynomial not broken up by the y axis?

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#calculus #optimization #quartics
162
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Find $y$ in $y^4-6y^3+14y^2-20y+8=0$

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#algebra-precalculus #polynomials #factoring #quartics
245
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Quartic Formula existance

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#polynomials #quartics
1.7k
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Find the complex roots of this quartic polynomial

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#polynomials #roots #quartics
192
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How to solve a quartic equation with $x^4$ and $x$?

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#quartics
5.6k
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Solving $x^4-15x^2-10x+ 24 = 0$ using Ferrari’s method

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#polynomials #quartics
90
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Prove that $x^4 + ax^3 + (b - 2)x^2 - ax + 1$ has $4$ real roots

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#algebra-precalculus #polynomials #roots #quartics

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