Question

Find $x_1^n+x_2^n$ on any quadratic equation, general case.

score 158 · Answer 1 · 2026-04-04 01:53:19

158

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Find $x_1^n+x_2^n$ on any quadratic equation, general case.

Published on 04 Apr 2026 - 1:53

score 29 · Answer 2 · 2016-07-17 08:55:55

29

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How to identify properties of the zeroes of this polynomial?

Published on 17 Jul 2016 - 8:55

score 2k · Answer 3 · 2016-07-18 14:28:58

2k

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Prove that $x^4+2x^2-6x+2=0$ when $x\in\mathbb{R}$ has exactly two solutions

Published on 18 Jul 2016 - 14:28

score 158 · Answer 4 · 2026-04-11 17:54:33

158

Views

zeros of special sequence of polynomials

Published on 11 Apr 2026 - 17:54

score 71 · Answer 5 · 2026-04-11 12:12:26

71

Views

Comparing the roots of two increasing functions

Published on 11 Apr 2026 - 12:12

score 96 · Answer 6 · 2016-07-20 10:40:06

96

Views

Are all the zeros of $1-a_2x^2+a_4x^4-a_6x^6+\cdots$ real for $a_{2n}>a_{2(n+1)}$ with $a_{2n+1}=0$ and $a_{2n}>0$?

Published on 20 Jul 2016 - 10:40

score 285 · Answer 7 · 2026-04-04 01:51:41

285

Views

Find the stopping distance

Published on 04 Apr 2026 - 1:51

score 433 · Answer 8 · 2026-03-26 02:47:37

433

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For what value of $(a+b)$ will all roots of $f(x)=x^4-8x^3+ax^2+bx+16$ be positive?

Published on 26 Mar 2026 - 2:47

score 110 · Answer 9 · 2016-07-21 17:13:21

110

Views

Number of real roots of $\frac{a_1}{a_1-x}+\frac{a_2}{a_2-x}+...+\frac{a_n}{a_n-x}=2016$ for $0<a_1<...<a_n$?

Published on 21 Jul 2016 - 17:13

score 8.9k · Answer 10 · 2016-07-22 01:28:22

8.9k

Views

Ways to find irrational roots of an n degree polynomial

Published on 22 Jul 2016 - 1:28

score 141 · Answer 11 · 2026-04-12 07:10:41

141

Views

Finding the root of an indefinite polynomial

Published on 12 Apr 2026 - 7:10

score 316 · Answer 12 · 2026-04-04 03:21:33

316

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If $x^2 + kx + 1$ be a factor of $ax^4 + bx^3 + c,$ prove that $(a + c)(a - c)^2 = b^2c.$

Published on 04 Apr 2026 - 3:21

score 1.1k · Answer 13 · 2016-07-22 09:46:56

1.1k

Views

Squareroot of complex number to the square $\sqrt{z^2}$

Published on 22 Jul 2016 - 9:46

score 103 · Answer 14 · 2026-04-04 03:23:25

103

Views

Express $c$ and $d$ in terms of $m$ where $c$ and $d$ are zeroes of $f$ where $m > -2$

Published on 04 Apr 2026 - 3:23

score 143 · Answer 15 · 2026-03-25 18:57:26

143

Views

Find the number of solutions of $ x^2+1=2^x$

Published on 25 Mar 2026 - 18:57

List Question

Find $x_1^n+x_2^n$ on any quadratic equation, general case.

How to identify properties of the zeroes of this polynomial?

Prove that $x^4+2x^2-6x+2=0$ when $x\in\mathbb{R}$ has exactly two solutions

zeros of special sequence of polynomials

Comparing the roots of two increasing functions

Are all the zeros of $1-a_2x^2+a_4x^4-a_6x^6+\cdots$ real for $a_{2n}>a_{2(n+1)}$ with $a_{2n+1}=0$ and $a_{2n}>0$?

Find the stopping distance

For what value of $(a+b)$ will all roots of $f(x)=x^4-8x^3+ax^2+bx+16$ be positive?

Number of real roots of $\frac{a_1}{a_1-x}+\frac{a_2}{a_2-x}+...+\frac{a_n}{a_n-x}=2016$ for $0<a_1<...<a_n$?

Ways to find irrational roots of an n degree polynomial

Finding the root of an indefinite polynomial

If $x^2 + kx + 1$ be a factor of $ax^4 + bx^3 + c,$ prove that $(a + c)(a - c)^2 = b^2c.$

Squareroot of complex number to the square $\sqrt{z^2}$

Express $c$ and $d$ in terms of $m$ where $c$ and $d$ are zeroes of $f$ where $m > -2$

Find the number of solutions of $ x^2+1=2^x$

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