## 300 Reputation

12 years, 106 days

## @Carl Love I am sorry. I want to ob...

@Carl Love I am sorry. I want to obtain x= pi/6+k*pi and x= -pi/6+k*pi.

## @Thomas Richard Thank you very much...

@Thomas Richard Thank you very much.

## Re...

http://www.artofproblemsolving.com/community/c3t243f3h621768s1_mathcounts_triangles

## None of numbers are repeated...

I have some problems:

Problem 1: In how many ways can one choose three diffenret positive integers less than or equal to 100 such that their sum is an event number?

Problem 2: Find the number of all 3-digit positive integers written with 1, 2, 3, 4, 5, 6 such that each number is divisible 3 and none of them are repeated.

How can I use your code?

## Thank you very much...

@Kitonum Thank you very much.

## Thank you very much...

@Kitonum Thank you very much.

## Six numbers x1, y1, z1, x2, y2, z2 are d...

@Kitonum I added x1*y1 + x2*y2 + x3*y3<>0 (the triangles non right) and x1*x2+y1*y2+z1*z2<>0  and x1*x2*y1*y2*z1*z2<>0 (six numbers x1, y1, z1, x2, y2, z2 are different from 0). How to get nine numbers x1, y1, z1, x2, y2, z2 are difference?
I tried
and x1*x2+y1*y2+z1*z2<>0  and x1*x2*y1*y2*z1*z2<>0 and x1<>y1 and x1<>z1 and y1<>z1 and x2<>y2 and x2<>z2 and y2<>z2  and igcd(x1,y1,z1)=1 and igcd(x2,y2,z2)=1

## Thank you very much...

@Kitonum Thank you very much.

## Warning...

@Kitonum I got

Warning, solve may be ignoring assumptions on the input variables and the out put is {a = 5/13, b = 7/13}

## Iwant to get real solu......

want to get real solutions depending on a real parameter m.

## I want to have an answer....

@Markiyan Hirnyk I haven't got an answer.

## @Carl Love Another request is inter...

@Carl Love Another request is intersection of tangents has integer coordinates. Note that, in your code, in PLK, there are some tangents repeat many times.

## Thank you...

@Carl Love Thank you very much.

## @Kitonum I usted my hand to substit...

I used my hand to substituted w into z to get equation of set of points . How can I do it without by hand?

## @Markiyan Hirnyk I usted my hand to...

@Markiyan Hirnyk I used my hand to substituted w into z. How can I do it without by hand?

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