Question

How to find the minimum of $\frac{|3a+4b-1|}{\sqrt {a^2+b^2}}$ if $\frac1{a^2}+\frac1{b^2}=25$

score 114 · Answer 1 · 2026-04-16 03:16:30

114

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How to find the minimum of $\frac{|3a+4b-1|}{\sqrt {a^2+b^2}}$ if $\frac1{a^2}+\frac1{b^2}=25$

Published on 16 Apr 2026 - 3:16

score 49 · Answer 2 · 2026-04-15 14:35:54

49

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score 39 · Answer 3 · 2026-04-12 17:02:58

39

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score 49 · Answer 8 · 2026-04-11 15:00:54

49

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68

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172

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72

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272

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score 28 · Answer 14 · 2026-04-11 15:42:41

28

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score 57 · Answer 15 · 2026-04-17 04:45:16

57

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Published on 17 Apr 2026 - 4:45

List Question

How to find the minimum of $\frac{|3a+4b-1|}{\sqrt {a^2+b^2}}$ if $\frac1{a^2}+\frac1{b^2}=25$

A two variable $f=f(x, y)$ such that its minimum is achieved on the boundary of this halfplane

Finding the max/min value of a function with a given constraint

Finding maximum value of a trigonometric functions

Finding maximum value of a trigonometric functions

Showing the unique maximum of a function

Do shapes with maximum area also have maximum perimeter, and solids with maximum volume also ahve maximum surface area?

Find the minimum value of $\frac {2n^5+n\sqrt [5]{2}+1}{n^2}$ where $n\in\Bbb R^{+}$

Maximize a 3 variable function

Minimize $x^2+y^2+z^2+w^2+2w(x+z)$ given certain constraints

Number of moves required to create a 5×5 chessboard under the given conditions

Will there be an infinite number of critical points in this case? (maxima minima for a function of two variables)

Local maximum versus global maximum

Finding where a function is increasing or decreasing: regions to check

Find $x$ so that $h(x)=\text{max}(f(x),g(x))$ assumes its min value

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