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Questions about a trick for solving quadratic equations quickly

score 2.3k · Answer 1 · 2026-04-11 02:40:35

2.3k

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Questions about a trick for solving quadratic equations quickly

Published on 11 Apr 2026 - 2:40

score 326 · Answer 2 · 2026-04-16 09:57:57

326

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If $\tan A, \tan B, \tan C$ are roots of $x^3-ax^2+b=0$, find $(1+\tan^2 A)(1+\tan^2B)(1+\tan^2C)$

Published on 16 Apr 2026 - 9:57

score 301 · Answer 3 · 2026-04-12 23:26:42

301

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Efficicient algorithm to check if $az+1=(xz+1)(yz+1)$

Published on 12 Apr 2026 - 23:26

score 126 · Answer 4 · 2021-04-07 11:00:27

126

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Factorize $abx^2-(a^2+b^2)x+ab$

Published on 07 Apr 2021 - 11:00

score 288 · Answer 5 · 2026-04-09 13:57:21

288

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How to factor the following?

Published on 09 Apr 2026 - 13:57

score 122 · Answer 6 · 2026-04-16 14:58:37

122

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Write the answer to this calculation as the product of powers of prime numbers..

Published on 16 Apr 2026 - 14:58

score 41 · Answer 7 · 2026-04-15 11:43:19

41

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Decomposition of polynomial $x^2 -3x +2\sqrt x$

Published on 15 Apr 2026 - 11:43

score 149 · Answer 8 · 2026-04-17 09:54:08

149

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Factoring a polynomial in $\mathbb Q[t][x]$ over an extension of $\mathbb Q[t]$

Published on 17 Apr 2026 - 9:54

score 80 · Answer 9 · 2026-04-16 04:46:35

80

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Complete square to show that $(x-2y)^4+64xy+16 \geq 0$

Published on 16 Apr 2026 - 4:46

score 54 · Answer 10 · 2026-04-13 01:24:55

54

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Iteration of cubic : could factorization be not unique?

Published on 13 Apr 2026 - 1:24

score 308 · Answer 11 · 2026-04-15 12:18:49

308

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Solve the equation $z^{4} + (1-i)z^{2} - i = 0$ for $z\in\mathbb{C}$

Published on 15 Apr 2026 - 12:18

score 37 · Answer 12 · 2026-04-14 09:35:14

37

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Can leading coefficients >1 occur in brackets when factorising polynomials?

Published on 14 Apr 2026 - 9:35

score 69 · Answer 13 · 2026-04-16 03:51:42

69

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$k(k^n - (k-1)^n) = k^{n+1}-(k-1)^{n+1}-(k-1)^n$

Published on 16 Apr 2026 - 3:51

score 60 · Answer 14 · 2026-04-18 02:25:26

60

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Factoring $x^2 - 81$ versus $81 - x^2$ - Question on behalf of my middle schooler

Published on 18 Apr 2026 - 2:25

score 49 · Answer 15 · 2026-04-10 01:05:03

49

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How to factor $42x – 14x^3$?

Published on 10 Apr 2026 - 1:05

List Question

Questions about a trick for solving quadratic equations quickly

If $\tan A, \tan B, \tan C$ are roots of $x^3-ax^2+b=0$, find $(1+\tan^2 A)(1+\tan^2B)(1+\tan^2C)$

Efficicient algorithm to check if $az+1=(xz+1)(yz+1)$

Factorize $abx^2-(a^2+b^2)x+ab$

How to factor the following?

Write the answer to this calculation as the product of powers of prime numbers..

Decomposition of polynomial $x^2 -3x +2\sqrt x$

Factoring a polynomial in $\mathbb Q[t][x]$ over an extension of $\mathbb Q[t]$

Complete square to show that $(x-2y)^4+64xy+16 \geq 0$

Iteration of cubic : could factorization be not unique?

Solve the equation $z^{4} + (1-i)z^{2} - i = 0$ for $z\in\mathbb{C}$

Can leading coefficients >1 occur in brackets when factorising polynomials?

$k(k^n - (k-1)^n) = k^{n+1}-(k-1)^{n+1}-(k-1)^n$

Factoring $x^2 - 81$ versus $81 - x^2$ - Question on behalf of my middle schooler

How to factor $42x – 14x^3$?

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