Question

Solving $ \frac{x^2}{x-1} + \sqrt{x-1} +\frac{\sqrt{x-1}}{x^2} = \frac{x-1}{x^2} + \frac{1}{\sqrt{x-1}} + \frac{x^2}{\sqrt{x-1}}$

score 175 · Answer 1 · 2018-01-29 12:29:06

175

Views

Solving $ \frac{x^2}{x-1} + \sqrt{x-1} +\frac{\sqrt{x-1}}{x^2} = \frac{x-1}{x^2} + \frac{1}{\sqrt{x-1}} + \frac{x^2}{\sqrt{x-1}}$

Published on 29 Jan 2018 - 12:29

score 136 · Answer 2 · 2026-03-24 01:46:06

136

Views

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264

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score 79 · Answer 4 · 2026-03-24 22:09:30

79

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111

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score 722 · Answer 6 · 2026-03-24 22:07:46

722

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91

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score 70 · Answer 9 · 2018-02-02 10:58:30

70

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score 439 · Answer 10 · 2026-03-22 19:41:40

439

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501

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191

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404

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72

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score 38 · Answer 15 · 2026-03-25 01:04:06

38

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List Question

Solving $ \frac{x^2}{x-1} + \sqrt{x-1} +\frac{\sqrt{x-1}}{x^2} = \frac{x-1}{x^2} + \frac{1}{\sqrt{x-1}} + \frac{x^2}{\sqrt{x-1}}$

Find all possible values of $ d_{17}$ knowing that $ (d_7)^2 + (d_{15})^2= (d_{16})^2$

Find number of functions

Manipulating a functional equation

Among $2n-1$ irrationals there are $x_1,\dots,x_n$ such that for rationals $a_i\ge0$ with $\sum_{i=1}^{n}a_i>0$, $\sum_{i=1}^{n}a_ix_i$ is irrational

Find all functions $ f:\mathbb{R} \mapsto \mathbb{R} $ such that $f[x^2+f(y)] = y +[f(x)]^2$

Maximum of three variables function

Definition of Coprime

If $|a|\ge 2$,$|b|\ge 2$, $P(x)=x^4-(a+b)x^3+(ab+2) x^2-(a+b)x+1$, prove that all roots of $P(x)$ are real

Geometric proof in Waterloo Euclid Contest

Putnam 2016 Question A5 Finite Group Theory

Combinations of a Bracelet?

Number of ways to stack poker chips if two stacks that can be obtained from each other by reflection are considered to be equivalent?

Using induction to prove sum of certain number-theoretic function.

How can simplify following for $r$

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