This will be helpful so I can have one less question to worry about on my midterms
ASK ME MATH QUESTION
This will be helpful so I can have one less question to worry about on my midterms
Find a general method for solving simultaneous Diophantine equations such as the following:
- What two integers add to give you 20 and multiply to give you 96?
The sample question is trivial and can be easily answered by just trying a few different values.
The numbers are 8 and 12, since 8 +12 = 20 and 8 x 12 = 96.
But your task is to find a GENERAL equation - or a general method - such as the ax^2 + bx +c = 0 quadratic that will give you the correct answer to ALL such questions, assuming that an integer answer exists.

Two rays A and B intersect each other on a Cartesian coordinate plane, such that both rays' endpoints (and as such, their only intersection point), lies at (0,0). Ray A perfectly fits the function f(x) = 0 for [0,∞), and as such, covers the x-axis, and, excluding the shared endpoint at (0,0), all of ray B's points lie in Quadrant I. Ray B is related to ray A in such a way that the angle between ray A and ray B is 60°. Find a point in Quadrant I that lies on ray B of which both coordinate values are integers, or prove that no such point exists.
the hp loss is cumulative. After 1 click, you have lost 3. After 2, you’ve lost 7. After 3, you’ve lost 12.
Also, taking the hp where you have a 50% chance to stop won’t work, because you have to take into account the chance that you stop before or after then.
tan(60)=sqrt3
So, the equation for ray B is y=(sqrt3)*x
You cannot multiply an integer by an irrational to get an integer, so no such point exists.
%: p
# of times: t
5h + 5(h-1) = p
10h-5 = p
If p = 5.5
10(5.5)-5=50%
Average: 50%: 5.5