How to choose the parameters to the following equation has two integer...
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...
View ArticleHow to choose the integer number a, b, c, d, e, f, k to the equation has...
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 +...
View Article(smallest) integer solve for inequality
Hi all, C:=2:solve({K*(K-1)>6*C-2,K>0},K,useassumptions) assuming K::point;It does not exacly give me 'integer'.for C from 2 to 10 doisolve({K*(K-1)>6*C-2,K>0},a);end do;gives me pretty...
View Articleisolve for multiple variables
Dear friends,I would like to know the agorithm of isovle for solving 2 order equations for more than 3 variables.I see that not all the solutions are shown for example for:x^2+y^2=z^2+t^2 Could you...
View ArticleSolutions lost by isolve command
I have the system: Update:{-1/2 < 2*f*(1/53)+7*g*(1/53), 3/106 < 7*f*(1/53)-2*g*(1/53), 2*f*(1/53)+7*g*(1/53) < -37/106, 7*f*(1/53)-2*g*(1/53) < 1/2} which I wish to solve over integers but...
View Articleisolve won't work in equation with decimal
I'm trying to get Maple to find integer number solutions using isolve. For example, the equation eq:=2.5*x+5*y=15 isolve(eq)∅Perhaps I need to specify a range?
View Articleisolve for inequalites
Hi!Looking the Maple's help, I see that the command "isolve" tries to solve an equations over the integers. Then, given m>1 and t in the interval [0,1], How can used this command to find an...
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isolve and _SolutionsMayBeLost
> sys:={x+y=10,x^2-y^2+z^2=1};(1)> isolve(sys, n);(2)> _SolutionsMayBeLost; # It was set in Maple 10 or so! E.g. x=5,y=5,z=-1 is not found.(3)> # Workaround>...
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How do I select all system of equations have two integral solutions in this...
I am trying to find the number a and b (-20 < a < 20, -20 < b <20) so that two circles (x+1)^2+(y+3)^2 = 125 and (x-a)^2+(y-b)^2 = 225 cut at two points A and B and coordinates A and B are...
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Putnam Mathematical Competition 2018
Maple can solve the easiest two problems of the Putnam Mathematical Competition 2018. link Problem A1 Find all ordered pairs (a,b) of positive integers for which 1/a + 1/b = 3/2018 > eq:=...
View ArticleA command to evaluate the non-negative integer solution of an equation
Assume that a[1],a[2],..a[k] are positive integer numbers. Let n be a positive integer number. Suppose that igcd(a[1],a[2],..a[k])=1. My question: Is there a command in Maple such that the output of...
View ArticleCan isolve be used with irem?
I am trying to get this to work {seq(isolve({a = k, irem(a*b, 10000) = 2391}), k = 1 .. 9999)}but am not getting any answer. One solution is irem(297*9503, 10000).
View Articlesolve with conditionals
As always, thank you all in advanced.I found this challenge by chance.solve 615+x^2=2^y over integers.I rushed to Maple and tried to solve it with “solve” and "assuming" but I did not get...
View ArticleHow do I find expressions of an integer as a sum of four squares in Maple?
Hello MaplePrimes usersHow do I find expressions of an integer as a sum of four squares in Maple?
View ArticleSolving a Quadratic Diophantine Equation with 3 variables
How do I find integer solutions to this non-linear equation: 8= 7(x^2+y^2+z^2)+2x+4y-8z. Tried isolve and it wasn't working. (I guess too many variables?) Also, if f(x,y,z) is the RHS, how do I write a...
View ArticleHow to solve a nonlinear diophantine equation in Maple with restrictions on...
Can Maple solve a (simple) nonlinear diophantine equation with restrictions on the variables?For example, I would like to solve simple equations where all values of the variables are positive...
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Find positive integer solutions of equations for a specific interval
Hello,The system of equations is as follows：I'd like to find all integer solutions in [1,20], when I use isolve ,the results are not good. Since at least one variable is equal to 0 in evey...
View ArticleHow do I solve 2nd degree Diophantine equation?
restart; eq := 61*x^2 + 1 = y^2; sols := (isolve(eq) assuming (x::posint, y::posint)): for sol in sols do print(subs(_Z1 = 1, sol)); end do;isolve returns the solution in terms of _Z1, indicating...
View ArticleDo you have any idea how to solve this problem?
In a french magazine written by High Schools teachers I found this problem: let a, b, p, q four strictly positive integers such that a > b^2 and p > q+1; find 4-tuples (a, b, p, q) such that (a^2...
View ArticleMinimum positive integer solution of system
Hi.I have a question, if it is possible please guide me. I tried for this problem but I failed.I have a set of linear equations that I want to find the "minimum" "positive" "integer" solution to it....
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