Question

If $a$ and $b$ are the non-zero distinct roots of the equation $x^2+ax+b=0$, find the least value of $x^2+ax+b$

score 4.9k · Answer 1 · 2016-12-30 04:59:05

4.9k

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If $a$ and $b$ are the non-zero distinct roots of the equation $x^2+ax+b=0$, find the least value of $x^2+ax+b$

Published on 30 Dec 2016 - 4:59

score 3.1k · Answer 2 · 2017-01-02 22:27:39

3.1k

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Rectangle inscribed in semicircle, find perimeter and more

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score 78 · Answer 3 · 2026-03-28 22:55:03

78

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Find the biggest number $M$ such that the inequality $a^2+b^{1389} \ge Mab$ holds for every $a,b \in [0,1]$.

Published on 28 Mar 2026 - 22:55

score 3.8k · Answer 4 · 2017-01-04 14:53:34

3.8k

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Closed Interval Method

Published on 04 Jan 2017 - 14:53

score 74 · Answer 5 · 2017-01-07 14:14:57

74

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Maximum value of $|x-y|$

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score 777 · Answer 6 · 2026-03-26 17:29:45

777

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First order sufficient condition for minimum

Published on 26 Mar 2026 - 17:29

score 63 · Answer 7 · 2017-01-07 17:25:20

63

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How can I maximize the following function?

Published on 07 Jan 2017 - 17:25

score 2.5k · Answer 8 · 2026-03-31 03:30:57

2.5k

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Calculus of variations, interpreting the minimum in first order

Published on 31 Mar 2026 - 3:30

score 875 · Answer 9 · 2017-01-08 00:30:22

875

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Finding the maximum of $f(x) = 2x\cos(2x) - (x-2)^2, [2,4]$ using the first derivative.

Published on 08 Jan 2017 - 0:30

score 428 · Answer 10 · 2026-04-04 01:56:17

428

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Absolute minimum of $f(x) = \sqrt{2x^2-3x+4} + \sqrt{x^2-2x}$

Published on 04 Apr 2026 - 1:56

score 741 · Answer 11 · 2026-04-04 01:55:33

741

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Absolute maximum of $f(x) = \sqrt{x^4-3x^2-6x+13}-\sqrt{x^4-x^2+1}$

Published on 04 Apr 2026 - 1:55

score 51 · Answer 12 · 2017-01-08 14:10:24

51

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The value of |$ \lambda$| is?

Published on 08 Jan 2017 - 14:10

score 65 · Answer 13 · 2017-01-09 16:55:55

65

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Engenvalues of $I_{T}+AA^{\prime }$

Published on 09 Jan 2017 - 16:55

score 110 · Answer 14 · 2017-01-09 19:35:35

110

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Show $g(x)=\frac{x \sin x}{x+1}$ has no maxima in $(0,\infty)$

Published on 09 Jan 2017 - 19:35

score 106 · Answer 15 · 2017-01-10 03:28:56

106

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$4x^2-5xy+4y^2=19$ with $Z=x^2+y^2$, find $\dfrac1{Z_{\max}}+\dfrac1{Z_{\min}}$

Published on 10 Jan 2017 - 3:28

List Question

If $a$ and $b$ are the non-zero distinct roots of the equation $x^2+ax+b=0$, find the least value of $x^2+ax+b$

Rectangle inscribed in semicircle, find perimeter and more

Find the biggest number $M$ such that the inequality $a^2+b^{1389} \ge Mab$ holds for every $a,b \in [0,1]$.

Closed Interval Method

Maximum value of $|x-y|$

First order sufficient condition for minimum

How can I maximize the following function?

Calculus of variations, interpreting the minimum in first order

Finding the maximum of $f(x) = 2x\cos(2x) - (x-2)^2, [2,4]$ using the first derivative.

Absolute minimum of $f(x) = \sqrt{2x^2-3x+4} + \sqrt{x^2-2x}$

Absolute maximum of $f(x) = \sqrt{x^4-3x^2-6x+13}-\sqrt{x^4-x^2+1}$

The value of |$ \lambda$| is?

Engenvalues of $I_{T}+AA^{\prime }$

Show $g(x)=\frac{x \sin x}{x+1}$ has no maxima in $(0,\infty)$

$4x^2-5xy+4y^2=19$ with $Z=x^2+y^2$, find $\dfrac1{Z_{\max}}+\dfrac1{Z_{\min}}$

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