## 300 Reputation

12 years, 196 days

## How to choose the integer number a, b, c...

The equation

solve(surd(-2*x+4,3)+surd(x+2,3)+surd(x -6> ,3)=0);

has three different integer solutions.

I want to choose the integer number a, b, c, d, e, f to the equation

(a*x + b)^(1/3) + (c*x + d)^(1/3) + (e*x + f)^(1/3) =0

has three different integer solutions.

I tried

restart:

L:=[]:

for a from -10 to -1  do

## Is the maple2e.sty too old?...

Maple
Iexported as LaTex and get the following file. When I use TeXmaker run, the pdffile not full out put the result. It can not break page. I asked this questionat http://tex.stackexchange.com/questions/114182/how-to-break-page-result-of-maple-outputand get the ansewr. Is the maple2e.sty too old? \documentclass{article}\usepackage{maple2e} \def\emptyline{\vspace{12pt}}\DefineParaStyle{MapleOutput}\DefineParaStyle{Maple Output}\DefineCharStyle{2DMath}\DefineCharStyle{2DOutput}\begin{document}\pa...

## How to choose the parameters to the foll...

How to choose the integer parameters a, b, c, d, m to the following equation has two integer solutions?

sqrt(a* x + b) +  sqrt(c*x + d) = m.

For example, the equation sqrt(x +5 ) + sqrt(8-x)=5 has two solution x = -1 and x = 4

## How to find the minimum value of this ex...

Maple

Let x, y, z be three nonnegative numbers and x^2 + y^2 + z^2 = 5. Find the minimum value of the expression

A = 1/2*x^2*y^2 + y^2*z^2 + z^2 *x^2 + 96/(x + y + z + 1).

How to find the minimum value of the expression?

## How to find the vertices of a triangle k...

Maple 15

In geometry (2D), the triangle ABC has centroid is G(1, 1) and orthocenter is H(1,1). How to find the vertices A, B, C with the coordinates of this vertices are integers number?

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