Question

$a,b,c$ real, summing to two and multiplying to four; find minimum of $|a|+|b|+|c|$

score 88 · Answer 1 · 2026-03-30 17:03:29

88

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$a,b,c$ real, summing to two and multiplying to four; find minimum of $|a|+|b|+|c|$

Published on 30 Mar 2026 - 17:03

score 166 · Answer 2 · 2017-07-11 18:48:16

166

Views

If $|x^2-x-5|+(3x+6)=0$, then how many values of $x$ exist?

Published on 11 Jul 2017 - 18:48

score 1.2k · Answer 3 · 2017-07-11 19:02:29

1.2k

Views

Linear programming (apply different multipliers for negative values )

Published on 11 Jul 2017 - 19:02

score 131 · Answer 4 · 2017-07-13 17:02:08

131

Views

Find the minimum value of $|x-2|+|2x+1|-|x-1|$

Published on 13 Jul 2017 - 17:02

score 68 · Answer 5 · 2017-07-14 17:30:58

68

Views

absolute value inequality understanding or proof

Published on 14 Jul 2017 - 17:30

score 425 · Answer 6 · 2017-07-15 11:23:53

425

Views

If equation a holds and equation b does not hold is it necessary for a+ b to not hold?

Published on 15 Jul 2017 - 11:23

score 227 · Answer 7 · 2017-07-16 03:10:16

227

Views

Solving for $x$ in the absolute value equation

Published on 16 Jul 2017 - 3:10

score 114 · Answer 8 · 2017-07-16 04:05:38

114

Views

If $\sin(\alpha)+\cos(\alpha)=a,$ denote $|\sin(\alpha)-\cos(\alpha)|$ in terms of $a$

Published on 16 Jul 2017 - 4:05

score 294 · Answer 9 · 2017-07-17 10:18:32

294

Views

Show that $y = \frac{2x}{x^2 +1}$ lies between $-1$ and $1$ inclusive.

Published on 17 Jul 2017 - 10:18

score 87 · Answer 10 · 2026-03-26 20:41:17

87

Views

Let $\space \chi \mod k \space$ be the Dirichlet Character. Is $\space |\chi(n)|=1 \space$ for all $\space n\in (\mathbb{Z} / k\mathbb{Z})^\times $?

Published on 26 Mar 2026 - 20:41

score 2.1k · Answer 11 · 2017-07-18 10:12:31

2.1k

Views

Square root of a square in an integral

Published on 18 Jul 2017 - 10:12

score 39 · Answer 12 · 2017-07-19 10:05:47

39

Views

Finding values of $x$ in the inequality

Published on 19 Jul 2017 - 10:05

score 6.1k · Answer 13 · 2017-07-20 11:10:50

6.1k

Views

Expectation inequality of absolute values

Published on 20 Jul 2017 - 11:10

score 121 · Answer 14 · 2017-07-23 04:41:39

121

Views

How to solve an integration when the increment is in absolute value?

Published on 23 Jul 2017 - 4:41

score 6.6k · Answer 15 · 2017-07-24 11:22:55

6.6k

Views

My teacher describes absolute value confusingly: $|x|=\pm x,\quad \text{if}\enspace x>0 $.

Published on 24 Jul 2017 - 11:22

List Question

$a,b,c$ real, summing to two and multiplying to four; find minimum of $|a|+|b|+|c|$

If $|x^2-x-5|+(3x+6)=0$, then how many values of $x$ exist?

Linear programming (apply different multipliers for negative values )

Find the minimum value of $|x-2|+|2x+1|-|x-1|$

absolute value inequality understanding or proof

If equation a holds and equation b does not hold is it necessary for a+ b to not hold?

Solving for $x$ in the absolute value equation

If $\sin(\alpha)+\cos(\alpha)=a,$ denote $|\sin(\alpha)-\cos(\alpha)|$ in terms of $a$

Show that $y = \frac{2x}{x^2 +1}$ lies between $-1$ and $1$ inclusive.

Let $\space \chi \mod k \space$ be the Dirichlet Character. Is $\space |\chi(n)|=1 \space$ for all $\space n\in (\mathbb{Z} / k\mathbb{Z})^\times $?

Square root of a square in an integral

Finding values of $x$ in the inequality

Expectation inequality of absolute values

How to solve an integration when the increment is in absolute value?

My teacher describes absolute value confusingly: $|x|=\pm x,\quad \text{if}\enspace x>0 $.

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