Question

Find $a,b$ such that the equation $x^4+3x^3+6x^2+ax+b=0$ has at most 2 real roots. Solution using algebra

score 278 · Answer 1 · 2026-03-25 04:41:00

278

Views

Find $a,b$ such that the equation $x^4+3x^3+6x^2+ax+b=0$ has at most 2 real roots. Solution using algebra

Published on 25 Mar 2026 - 4:41

score 1.3k · Answer 2 · 2026-03-25 20:35:10

1.3k

Views

Square root of 4 equals 2 (or) ±2?

Published on 25 Mar 2026 - 20:35

score 207 · Answer 3 · 2026-03-25 06:06:38

207

Views

There is only one real value of $a$ for which the quadratic equation has two positive integral solutions

Published on 25 Mar 2026 - 6:06

score 100 · Answer 4 · 2026-03-29 12:39:19

100

Views

The number of imaginary roots of $\sum_{n=1}^{100} \frac {n^2}{x-x_{n} }= 101$, where each $x_n$ is real

Published on 29 Mar 2026 - 12:39

score 536 · Answer 5 · 2018-05-07 16:22:08

536

Views

Diminishing roots of a equations

Published on 07 May 2018 - 16:22

score 103 · Answer 6 · 2026-03-25 17:26:33

103

Views

Dissimilar-root radical equation

Published on 25 Mar 2026 - 17:26

score 263 · Answer 7 · 2018-05-09 01:47:52

263

Views

Polynomial of Matrix is zero Matrix then Eigenvalues are root

Published on 09 May 2018 - 1:47

score 234 · Answer 8 · 2018-05-09 17:05:40

234

Views

Common root of two polynomials

Published on 09 May 2018 - 17:05

score 151 · Answer 9 · 2026-03-24 23:42:43

151

Views

How do you find a coefficient for a polynomial whose roots are given?

Published on 24 Mar 2026 - 23:42

score 138 · Answer 10 · 2026-03-26 04:53:17

138

Views

Value of $p$ if interval $(1,2)$ lies between roots of a given equation?

Published on 26 Mar 2026 - 4:53

score 498 · Answer 11 · 2026-03-24 23:56:02

498

Views

Find all roots of $z^4 + 1 = 0$

Published on 24 Mar 2026 - 23:56

score 85 · Answer 12 · 2026-03-26 06:31:48

85

Views

Values of $p$ such that the roots of $x^2+px+p$ are greater than $1$

Published on 26 Mar 2026 - 6:31

score 438 · Answer 13 · 2026-03-26 04:53:18

438

Views

Why can the root of something be written as a fraction in the exponent?

Published on 26 Mar 2026 - 4:53

score 403 · Answer 14 · 2026-03-25 06:03:30

403

Views

Examples of entire functions with none, one and infinite zeros.

Published on 25 Mar 2026 - 6:03

score 94 · Answer 15 · 2018-05-11 01:33:20

94

Views

Method of quickly factorizing higher degree polynomials without rational roots?

Published on 11 May 2018 - 1:33

List Question

Find $a,b$ such that the equation $x^4+3x^3+6x^2+ax+b=0$ has at most 2 real roots. Solution using algebra

Square root of 4 equals 2 (or) ±2?

There is only one real value of $a$ for which the quadratic equation has two positive integral solutions

The number of imaginary roots of $\sum_{n=1}^{100} \frac {n^2}{x-x_{n} }= 101$, where each $x_n$ is real

Diminishing roots of a equations

Dissimilar-root radical equation

Polynomial of Matrix is zero Matrix then Eigenvalues are root

Common root of two polynomials

How do you find a coefficient for a polynomial whose roots are given?

Value of $p$ if interval $(1,2)$ lies between roots of a given equation?

Find all roots of $z^4 + 1 = 0$

Values of $p$ such that the roots of $x^2+px+p$ are greater than $1$

Why can the root of something be written as a fraction in the exponent?

Examples of entire functions with none, one and infinite zeros.

Method of quickly factorizing higher degree polynomials without rational roots?

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