For the alternative Technologies I put tracking Mountain Climbers and putting some Heart Rate and Temperature monitoring systems to help with tracking the health stats of the Climber.
If you knew what the definition of a Rectangular was, you wouldn't have asked our help to prove it, good thing azureus88 kindly posted the full solution for you, I just thought you would be smart enough to figure it out from what I said.
You guys all missed the fact that it's actually a Symmetrical Polynomial. Therefore the roots will be reciprocals of each other.
Which only leaves two pairs of reciprocal roots, therefore the maximum multiple root is only two.
For the first part, A hyperbola is called a hyperbola if its asymtotes meet at right angles. Also its eccentricity is root(2).
For the second part, I would assume you need to draw the diagram and use the rules of concyclic polygons.
#Edit#: On further thought, I'm a little confused at the answer I got, anyone want to correct me?
Don't take my word for it, but this is what I came up with:
Find e in terms of t using:
b^2 = a^2(e^2-1)
You should find:
e = sqrt(m+8)/sqrt(m)
Using this, you can find the foci using:
Foci =...