Question

Find all $n\in\mathbb N$ such that $\sqrt{n^2+8n-5}$ is an integer.

score 87 · Answer 1 · 2026-03-31 10:08:39

87

Views

Find all $n\in\mathbb N$ such that $\sqrt{n^2+8n-5}$ is an integer.

Published on 31 Mar 2026 - 10:08

score 125 · Answer 2 · 2026-03-28 10:16:28

125

Views

System of four equations of four variables including second powers.

Published on 28 Mar 2026 - 10:16

score 35 · Answer 3 · 2016-11-24 18:40:42

35

Views

Graphing function using shifting

Published on 24 Nov 2016 - 18:40

score 200 · Answer 4 · 2016-11-26 16:19:58

200

Views

Find the value of $a$ for which $f(x)\lt3\;\;\forall x\in\Bbb{R^+}$ and $f(x)\gt3$ for at least one $x\in\Bbb{R}^-$

Published on 26 Nov 2016 - 16:19

score 2.8k · Answer 5 · 2016-11-26 16:34:23

2.8k

Views

Prove:$x^2+2xy+3y^2-6x-2y\ge-11\;\;\forall(x,y)\in\Bbb{R}$

Published on 26 Nov 2016 - 16:34

score 383 · Answer 6 · 2016-11-26 19:34:10

383

Views

Two different approaches to $x^{(\log_{10}x)^2-3\log_{10}x+1}\gt1000$ with different results

Published on 26 Nov 2016 - 19:34

score 91 · Answer 7 · 2016-11-27 19:02:12

91

Views

Quadratic equation 4

Published on 27 Nov 2016 - 19:02

score 38 · Answer 8 · 2016-11-28 04:28:17

38

Views

Why are both roots real if and only if $p^2 - 4q \ge 0$?

Published on 28 Nov 2016 - 4:28

score 231 · Answer 9 · 2016-11-28 18:05:28

231

Views

Theorem stating that raising to $\rm n^{th}$ power both sides of an equation is ok.

Published on 28 Nov 2016 - 18:05

score 68 · Answer 10 · 2016-11-29 16:53:00

68

Views

Logarithms with same base, do signs change when you drop the base and solve?

Published on 29 Nov 2016 - 16:53

score 394 · Answer 11 · 2026-03-26 17:46:17

394

Views

Proving a quadratic form is well defined

Published on 26 Mar 2026 - 17:46

score 58 · Answer 12 · 2016-11-29 20:53:36

58

Views

How do I find the power x in this equation?

Published on 29 Nov 2016 - 20:53

score 132 · Answer 13 · 2016-11-29 21:08:18

132

Views

Find all numbers $x$ for which $x^2 - 2x + 2 >0$

Published on 29 Nov 2016 - 21:08

score 374 · Answer 14 · 2026-03-29 10:47:48

374

Views

simplification of quadratic standard form equation

Published on 29 Mar 2026 - 10:47

score 952 · Answer 15 · 2016-12-01 17:26:42

952

Views

Quadratic equation - arithmetic progression

Published on 01 Dec 2016 - 17:26

List Question

Find all $n\in\mathbb N$ such that $\sqrt{n^2+8n-5}$ is an integer.

System of four equations of four variables including second powers.

Graphing function using shifting

Find the value of $a$ for which $f(x)\lt3\;\;\forall x\in\Bbb{R^+}$ and $f(x)\gt3$ for at least one $x\in\Bbb{R}^-$

Prove:$x^2+2xy+3y^2-6x-2y\ge-11\;\;\forall(x,y)\in\Bbb{R}$

Two different approaches to $x^{(\log_{10}x)^2-3\log_{10}x+1}\gt1000$ with different results

Quadratic equation 4

Why are both roots real if and only if $p^2 - 4q \ge 0$?

Theorem stating that raising to $\rm n^{th}$ power both sides of an equation is ok.

Logarithms with same base, do signs change when you drop the base and solve?

Proving a quadratic form is well defined

How do I find the power x in this equation?

Find all numbers $x$ for which $x^2 - 2x + 2 >0$

simplification of quadratic standard form equation

Quadratic equation - arithmetic progression

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