Question

Solution to equations in 3 variable without forming a cubic polynomial

score 499 · Answer 1 · 2026-04-12 17:19:46

499

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Solution to equations in 3 variable without forming a cubic polynomial

Published on 12 Apr 2026 - 17:19

score 276 · Answer 2 · 2016-11-13 14:35:40

276

Views

If $P$ is a monic polynomial of degree $2015$ such that $P(i)=2014-i\quad\forall i=0,...,2014$ & $P(2015)=n!-a$, find $n+a$

Published on 13 Nov 2016 - 14:35

score 2k · Answer 3 · 2026-04-11 15:12:46

2k

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Find the value of a for which the equation $x^4 - ax^2 + 9 = 0$ has four real and distinct roots.

Published on 11 Apr 2026 - 15:12

score 163 · Answer 4 · 2016-11-14 09:38:46

163

Views

Condition for the roots of $x^n+a_1x^{n-1}+a_2x^{n-2}+\ldots+a_n=0$ not all to be real

Published on 14 Nov 2016 - 9:38

score 1.1k · Answer 5 · 2026-03-25 10:59:03

1.1k

Views

Find the value of $c$ such that $h(k(x))=0$ has equal roots, where $h(x)=5x+2$ and $k(x)=cx^2-x+2$

Published on 25 Mar 2026 - 10:59

score 43 · Answer 6 · 2026-04-11 02:36:28

43

Views

Doubt on Descartes rule

Published on 11 Apr 2026 - 2:36

score 259 · Answer 7 · 2026-04-10 15:15:46

259

Views

Quadratic Equation in $x$ and $y$

Published on 10 Apr 2026 - 15:15

score 385 · Answer 8 · 2026-04-07 08:13:51

385

Views

A sequence of continuous functions on $[0,\infty)$ converging uniformly such that each $f_n$ has a zero but the limit function is nowhere zero.

Published on 07 Apr 2026 - 8:13

score 226 · Answer 9 · 2016-11-15 21:50:04

226

Views

$X^{1/2}$ equal or not equal to $X^{2/4}$?

Published on 15 Nov 2016 - 21:50

score 500 · Answer 10 · 2016-11-16 09:25:13

500

Views

Prove that $a+b\ge6(2^{\frac{1}{3}}+4^{\frac{1}{3}})$ if equation $2x^3+ax^2+bx+4=0$ has $3$ real roots

Published on 16 Nov 2016 - 9:25

score 243 · Answer 11 · 2026-03-27 10:12:01

243

Views

Location of the roots of the equation $f(x)+2f'(x)+f''(x)=0$ if $\alpha, \beta$ and $\gamma$ are the roots of $f(x)=0$

Published on 27 Mar 2026 - 10:12

score 123 · Answer 12 · 2026-03-27 10:12:03

123

Views

Find the value of $\sum\limits_{\mathrm{cyc}}\frac{1}{xy+z-1}$ if $(x,y,z)$ are the roots of some given cubic polynomial

Published on 27 Mar 2026 - 10:12

score 1.3k · Answer 13 · 2026-04-13 10:13:24

1.3k

Views

Distinct roots of the equation $ax^2-bx+c=0$ in $(1,2)$, where $a,b,c\in\Bbb{N}$

Published on 13 Apr 2026 - 10:13

score 35 · Answer 14 · 2026-03-25 20:59:54

35

Views

Zeroes of a not quite holomorphic function

Published on 25 Mar 2026 - 20:59

score 118 · Answer 15 · 2026-04-12 20:13:42

118

Views

What does this question mean (Taylor series and Newton-Raphson methpd)?

Published on 12 Apr 2026 - 20:13

List Question

Solution to equations in 3 variable without forming a cubic polynomial

If $P$ is a monic polynomial of degree $2015$ such that $P(i)=2014-i\quad\forall i=0,...,2014$ & $P(2015)=n!-a$, find $n+a$

Find the value of a for which the equation $x^4 - ax^2 + 9 = 0$ has four real and distinct roots.

Condition for the roots of $x^n+a_1x^{n-1}+a_2x^{n-2}+\ldots+a_n=0$ not all to be real

Find the value of $c$ such that $h(k(x))=0$ has equal roots, where $h(x)=5x+2$ and $k(x)=cx^2-x+2$

Doubt on Descartes rule

Quadratic Equation in $x$ and $y$

A sequence of continuous functions on $[0,\infty)$ converging uniformly such that each $f_n$ has a zero but the limit function is nowhere zero.

$X^{1/2}$ equal or not equal to $X^{2/4}$?

Prove that $a+b\ge6(2^{\frac{1}{3}}+4^{\frac{1}{3}})$ if equation $2x^3+ax^2+bx+4=0$ has $3$ real roots

Location of the roots of the equation $f(x)+2f'(x)+f''(x)=0$ if $\alpha, \beta$ and $\gamma$ are the roots of $f(x)=0$

Find the value of $\sum\limits_{\mathrm{cyc}}\frac{1}{xy+z-1}$ if $(x,y,z)$ are the roots of some given cubic polynomial

Distinct roots of the equation $ax^2-bx+c=0$ in $(1,2)$, where $a,b,c\in\Bbb{N}$

Zeroes of a not quite holomorphic function

What does this question mean (Taylor series and Newton-Raphson methpd)?

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