Question

If 'x' is real and $\frac{x^2-x+c}{x^2+x+2c}$ can take all real values find the interval in which $c$ lies

score 98 · Answer 1 · 2026-04-16 05:31:23

98

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If 'x' is real and $\frac{x^2-x+c}{x^2+x+2c}$ can take all real values find the interval in which $c$ lies

Published on 16 Apr 2026 - 5:31

score 4.4k · Answer 2 · 2026-04-16 01:16:21

4.4k

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The equations $x^3+5x^2+px+q=0$and $x^3+7x^2+px+r=0$ have 2 common roots, then find the third root of both equations

Published on 16 Apr 2026 - 1:16

score 1k · Answer 3 · 2026-04-15 23:15:26

If $a>b>0$ and $a^3+b^3+27ab=729$ then $ax^2+bx-9=0$ has roots $\alpha,\beta,(\alpha<\beta)$. Find the value of $4\beta -a\alpha$.

score 1k · Answer 4 · 2026-04-16 14:27:19

1k

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If $x^2+\lambda x+1=0, \lambda$ is part of $(-2,2)$ and $4x^3+3x+2c=0$ have common root then $c+\lambda$ can be

Published on 16 Apr 2026 - 14:27

score 179 · Answer 5 · 2026-04-16 05:22:21

179

Views

$f(\frac{2\pi}{7})+f(\frac{4\pi}{7})+f(\frac{6\pi}{7})=1$

Published on 16 Apr 2026 - 5:22

score 134 · Answer 6 · 2026-04-10 08:11:40

134

Views

Did i solved the equation correctly?

Published on 10 Apr 2026 - 8:11

score 835 · Answer 7 · 2026-04-11 07:35:26

835

Views

Laplace Transforms/Differential Equations using MATLAB

Published on 11 Apr 2026 - 7:35

score 3.3k · Answer 8 · 2026-04-11 01:46:13

3.3k

Views

Complex Roots of a Quartic Equation

Published on 11 Apr 2026 - 1:46

score 34 · Answer 9 · 2026-04-15 08:00:49

34

Views

difference consecutive perfect roots

Published on 15 Apr 2026 - 8:00

score 38 · Answer 10 · 2026-04-13 19:33:51

38

Views

Has anyone heard of the Schwarzian-Newton method for inverting cumulative distribution functions?

Published on 13 Apr 2026 - 19:33

score 802 · Answer 11 · 2026-04-10 22:06:15

802

Views

Frobenius Method Equal Roots proof

Published on 10 Apr 2026 - 22:06

score 154 · Answer 12 · 2026-04-13 08:00:07

154

Views

The zeros of infinite product are not zeros of resulting function.

Published on 13 Apr 2026 - 8:00

score 14.1k · Answer 13 · 2026-04-14 06:38:55

14.1k

Views

Using Rolle's Theorem to prove roots.

Published on 14 Apr 2026 - 6:38

score 94 · Answer 14 · 2026-04-13 00:07:03

94

Views

Number of solutions for $x^3+ax^2+b$

Published on 13 Apr 2026 - 0:07

score 112 · Answer 15 · 2026-04-12 08:09:37

112

Views

How can I distinguish a genuine solution of polynomial equations from a near miss?

Published on 12 Apr 2026 - 8:09

List Question

If 'x' is real and $\frac{x^2-x+c}{x^2+x+2c}$ can take all real values find the interval in which $c$ lies

The equations $x^3+5x^2+px+q=0$and $x^3+7x^2+px+r=0$ have 2 common roots, then find the third root of both equations

If $a>b>0$ and $a^3+b^3+27ab=729$ then $ax^2+bx-9=0$ has roots $\alpha,\beta,(\alpha<\beta)$. Find the value of $4\beta -a\alpha$.

If $x^2+\lambda x+1=0, \lambda$ is part of $(-2,2)$ and $4x^3+3x+2c=0$ have common root then $c+\lambda$ can be

$f(\frac{2\pi}{7})+f(\frac{4\pi}{7})+f(\frac{6\pi}{7})=1$

Did i solved the equation correctly?

Laplace Transforms/Differential Equations using MATLAB

Complex Roots of a Quartic Equation

difference consecutive perfect roots

Has anyone heard of the Schwarzian-Newton method for inverting cumulative distribution functions?

Frobenius Method Equal Roots proof

The zeros of infinite product are not zeros of resulting function.

Using Rolle's Theorem to prove roots.

Number of solutions for $x^3+ax^2+b$

How can I distinguish a genuine solution of polynomial equations from a near miss?

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