Question

let $a,b>0$,find the minimum of the value $f(a,b)=\frac{a}{b}+\frac{b}{a+b+1}+\frac{b+1}{a}$

score 92 · Answer 1 · 2026-03-26 02:47:39

92

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let $a,b>0$,find the minimum of the value $f(a,b)=\frac{a}{b}+\frac{b}{a+b+1}+\frac{b+1}{a}$

Published on 26 Mar 2026 - 2:47

score 1.2k · Answer 2 · 2026-03-26 02:46:58

1.2k

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How to find the equation of a quartic function given its three turning points

Published on 26 Mar 2026 - 2:46

score 584 · Answer 3 · 2026-03-26 02:44:46

584

Views

Is there formula that solves quartic equation $ax^4+bx+c=0$

Published on 26 Mar 2026 - 2:44

score 68 · Answer 4 · 2026-03-26 02:44:47

68

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I need help in solving this trigonometry related quartic equation.

Published on 26 Mar 2026 - 2:44

score 86 · Answer 5 · 2026-03-26 02:51:18

86

Views

Minimization of Quartic Function

Published on 26 Mar 2026 - 2:51

score 121 · Answer 6 · 2026-03-26 02:44:39

121

Views

Can someone help me solve this quartic equation?

Published on 26 Mar 2026 - 2:44

score 931 · Answer 7 · 2026-03-26 02:45:52

931

Views

Find all four roots of quartic equation $x^4-x+1=0$

Published on 26 Mar 2026 - 2:45

score 86 · Answer 8 · 2026-05-11 00:29:42

86

Views

Basic Geometry Problem : FInd $AC$

Published on 11 May 2026 - 0:29

score 213 · Answer 9 · 2026-03-25 10:57:29

213

Views

Is there a quick (hopefully elementary) way to prove that $6b^2c^2 + 3c^2 - 36bc - 4b^4 - 4b^2 + 53=0$ has only one solution?

Published on 25 Mar 2026 - 10:57

score 112 · Answer 10 · 2026-03-26 02:44:47

112

Views

Beyond homography: from conics to quartics

Published on 26 Mar 2026 - 2:44

score 145 · Answer 11 · 2026-03-26 01:07:40

145

Views

Geometric sequence problem including sum of the numbers

Published on 26 Mar 2026 - 1:07

score 119 · Answer 12 · 2026-03-26 02:49:00

119

Views

How can I find the roots of the polynomial $12x^{4}+2x^3+10x^2+2x-2$?

Published on 26 Mar 2026 - 2:49

score 95 · Answer 13 · 2026-03-26 02:51:17

95

Views

need help solving a quartic equation

Published on 26 Mar 2026 - 2:51

score 435 · Answer 14 · 2026-04-16 11:00:36

435

Views

For what value of $(a+b)$ will all roots of $f(x)=x^4-8x^3+ax^2+bx+16$ be positive?

Published on 16 Apr 2026 - 11:00

score 3.5k · Answer 15 · 2026-04-15 23:10:32

3.5k

Views

How to prove that the quartic equation $x^4-3x+1=0$ has exactly 2 real roots?

Published on 15 Apr 2026 - 23:10

List Question

let $a,b>0$,find the minimum of the value $f(a,b)=\frac{a}{b}+\frac{b}{a+b+1}+\frac{b+1}{a}$

How to find the equation of a quartic function given its three turning points

Is there formula that solves quartic equation $ax^4+bx+c=0$

I need help in solving this trigonometry related quartic equation.

Minimization of Quartic Function

Can someone help me solve this quartic equation?

Find all four roots of quartic equation $x^4-x+1=0$

Basic Geometry Problem : FInd $AC$

Is there a quick (hopefully elementary) way to prove that $6b^2c^2 + 3c^2 - 36bc - 4b^4 - 4b^2 + 53=0$ has only one solution?

Beyond homography: from conics to quartics

Geometric sequence problem including sum of the numbers

How can I find the roots of the polynomial $12x^{4}+2x^3+10x^2+2x-2$?

need help solving a quartic equation

For what value of $(a+b)$ will all roots of $f(x)=x^4-8x^3+ax^2+bx+16$ be positive?

How to prove that the quartic equation $x^4-3x+1=0$ has exactly 2 real roots?

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