List questions from quartics

Published on 01 Jun 2016 - 1:42

483

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A system of polynomial equations of degree $2$ in two variables

Published on 06 Jun 2016 - 1:30

5.8k

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Why can a quartic polynomial never have three real and one complex root?

Published on 21 Jun 2016 - 15:19

655

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Factoring $x^4-11x^2y^2+y^4$

Published on 03 Jul 2016 - 19:05

4.7k

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Is there an inverse for a quartic function?

Published on 12 Apr 2013 - 5:56

829

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Existence of real roots of a quartic polynomial

Published on 27 Apr 2013 - 17:58

1.8k

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All roots of the quartic equation $a x^4 + b x^3 + x^2 + x + 1 = 0$ cannot be real

Published on 23 Nov 2013 - 17:39

1.1k

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Problem finding roots of a depressed quartic using the Ferrari Method.

Published on 18 Apr 2017 - 17:39

128

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Quartic Equation Inequality

Published on 26 Apr 2017 - 9:08

107

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Solve for $x$: $x^4+2x^3-x-1=0$

Published on 06 May 2017 - 15:27

541

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Relation between roots and coefficients

Published on 12 May 2017 - 7:19

153

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Solve the equation $x^2-9\sqrt{x}+14=0$

Published on 23 May 2017 - 14:24

24

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Does a certain quartic quadrivariate polynomial fall within any known category?

Published on 24 Mar 2026 - 17:48

1.8k

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Solve $\sin(5\theta)=1$, $0<\theta<2\pi$. Show that the roots of $16x^4+16x^3-4x^2-4x+1=0$ are $x=\sin{\frac{(4r+1)\pi}{10}}$, $r=0,2,3,4$.

Published on 04 Jun 2017 - 23:23

199

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Solve the equation $x^4+(x-1)(x^2-2x+2)=0$

Published on 12 Jun 2017 - 9:52

List Question

Unsolvability of Quintic + equations from a logical perspective

A system of polynomial equations of degree $2$ in two variables

Why can a quartic polynomial never have three real and one complex root?

Factoring $x^4-11x^2y^2+y^4$

Is there an inverse for a quartic function?

Existence of real roots of a quartic polynomial

All roots of the quartic equation $a x^4 + b x^3 + x^2 + x + 1 = 0$ cannot be real

Problem finding roots of a depressed quartic using the Ferrari Method.

Quartic Equation Inequality

Solve for $x$: $x^4+2x^3-x-1=0$

Relation between roots and coefficients

Solve the equation $x^2-9\sqrt{x}+14=0$

Does a certain quartic quadrivariate polynomial fall within any known category?

Solve $\sin(5\theta)=1$, $0<\theta<2\pi$. Show that the roots of $16x^4+16x^3-4x^2-4x+1=0$ are $x=\sin{\frac{(4r+1)\pi}{10}}$, $r=0,2,3,4$.

Solve the equation $x^4+(x-1)(x^2-2x+2)=0$

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