Question

Quadratic equation with roots

score 121 · Answer 1 · 2018-08-01 17:22:37

121

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Quadratic equation with roots

Published on 01 Aug 2018 - 17:22

score 1.2k · Answer 2 · 2018-08-02 12:40:16

1.2k

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If $c,d$ are the real roots of the equation, $(x-a)(x-b)=f$

Published on 02 Aug 2018 - 12:40

score 11.4k · Answer 3 · 2026-03-25 12:30:04

11.4k

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How to plot complex poles/zeros into Bode plot?

Published on 25 Mar 2026 - 12:30

score 382 · Answer 4 · 2026-03-25 20:13:56

382

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Show that $x^2+9x+20$ is divisible by 2 for all $x \in \mathbb{Z}$

Published on 25 Mar 2026 - 20:13

score 841 · Answer 5 · 2018-08-05 06:01:21

841

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Find the least value of the expression $x^2+2xy+2y^2+4y+7$

Published on 05 Aug 2018 - 6:01

score 1.6k · Answer 6 · 2026-03-24 23:44:47

1.6k

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Quadratic forms, change of variables

Published on 24 Mar 2026 - 23:44

score 86 · Answer 7 · 2026-03-26 13:01:50

86

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Common root question on quadratics equations to show that $a+b+c=0$

Published on 26 Mar 2026 - 13:01

score 332 · Answer 8 · 2026-03-25 06:20:59

332

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Let $P(x)=x^2+bx+c$, where $b$ and $c$ are integers.

Published on 25 Mar 2026 - 6:20

score 278 · Answer 9 · 2018-08-06 18:05:22

278

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If the roots of the equation $ax^2-2bx+c=0$ are complex ,then find the number of real roots of the equation $4e^x+(a+c)^2(x^3+x)=4b^2x$.

Published on 06 Aug 2018 - 18:05

score 284 · Answer 10 · 2026-03-26 06:21:32

284

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Does there exist a formula to find the coefficients of this parabola?

Published on 26 Mar 2026 - 6:21

score 296 · Answer 11 · 2018-08-07 03:58:49

296

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Quadratic equation sum from Russian book

Published on 07 Aug 2018 - 3:58

score 215 · Answer 12 · 2026-03-24 19:01:04

215

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Find the least value of $n\in N$ for which $(n-2)x^2+8x+n+4>\arcsin(\sin12)+\arccos(\cos12)$ for every $x \in \mathbb {R}$

Published on 24 Mar 2026 - 19:01

score 277 · Answer 13 · 2018-08-07 10:52:53

Number of non negative integral values of $n,n\le 10$ so that a root of the equation $n^2\sin^2 x-2\sin x-(2n+1)=0$ lies in the interval $[0,\pi/2]$

score 107 · Answer 14 · 2018-08-08 23:34:09

107

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What does the floating point number $(1.2)$ down the bracket mean?

Published on 08 Aug 2018 - 23:34

score 2.9k · Answer 15 · 2018-08-09 14:00:17

2.9k

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Prove that the quadratic equation is bijective

Published on 09 Aug 2018 - 14:00

List Question

Quadratic equation with roots

If $c,d$ are the real roots of the equation, $(x-a)(x-b)=f$

How to plot complex poles/zeros into Bode plot?

Show that $x^2+9x+20$ is divisible by 2 for all $x \in \mathbb{Z}$

Find the least value of the expression $x^2+2xy+2y^2+4y+7$

Quadratic forms, change of variables

Common root question on quadratics equations to show that $a+b+c=0$

Let $P(x)=x^2+bx+c$, where $b$ and $c$ are integers.

If the roots of the equation $ax^2-2bx+c=0$ are complex ,then find the number of real roots of the equation $4e^x+(a+c)^2(x^3+x)=4b^2x$.

Does there exist a formula to find the coefficients of this parabola?

Quadratic equation sum from Russian book

Find the least value of $n\in N$ for which $(n-2)x^2+8x+n+4>\arcsin(\sin12)+\arccos(\cos12)$ for every $x \in \mathbb {R}$

Number of non negative integral values of $n,n\le 10$ so that a root of the equation $n^2\sin^2 x-2\sin x-(2n+1)=0$ lies in the interval $[0,\pi/2]$

What does the floating point number $(1.2)$ down the bracket mean?

Prove that the quadratic equation is bijective

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