Recent content by galois427

begin by drawing a picture. center the triangle on the xy plane. draw an arbitary inscribed rectangle and label the point where the triangle and rectangle meet as (x,y). you should also have a symmetric point labeled (-x,y). find relationship between y and x (using the length of the 3 sides of...

ok, this is what i got. AX x AZ = (AB+BX) x (AD+DZ) = (AB+BX) x AD + (AB+BX) x DZ = AB x AD + BX x AD + AB x DZ + BX x DZ AB x AD = (AX+XB) x (AZ+ZD) = (AX+XB) x AZ + (AX+XB) x ZD = AX x AZ + XB x AZ + AX x ZD + XB x ZD and that's...

how would you express AX and AZ as a vector? I just set z=0 but when I took the cross product, i have a bunch of unknowns (x1,x2,x3,y0,y1).

the prob ask me to prove that if parallelograms ABCD and AXYZ (see the attachment) are such that point X lies on side BC and point D lies on side YZ, the area of the 2 parallelograms are equal.

nvm, i just figured it out. thanks.

can you explain that a little more. how does (p-2)th round : 20? i found out, by guess and check, that p=58, but how do you go about proving it?

how do you solve the recursion equation (n-1)*a[n+1] - n*a[n] + 10*n = 0?

i need help with solving tihs problem. I'm not really sure how to prove it. several people started with $300 each, and played a game with the following strange rules. each player pays $10 to the house at the beginning of each round. during each round, one active player is declared the loser...

i euqated that equation and found out that r= + or - 1 so a = + or - 2. well, that yielded 2 equations. x^10 - 2x + 1 and x^10 + 2x +1. r = 1 is a zeo, but r=-1 is not. what am i doing wrong?

I need some help on how to solve this question. It asks me to find all real numbers a with the property that the polynomial equation x^10 + a*x +1 = 0 has a real solution r such that 1/r is also a solution. I tried plugging in r and 1/r and equating the 2 equations, but that got me nowhere.

I need some help on how to solve this question. It asks me to find all real numbers with the property that the polynomial equation x^10 + a*x +1 = 0 has a real solution r such that 1/r is also a solution. I tried plugging in r and 1/r and equating the 2 equations, but that got me nowhere.

Hi, I need help solving this problem. The question asks me to find all prime numbers p such that p^2 = n^3 + 1 for some integer n.

whats a good intro book to tensors and manifolds?

thanks. the physics lecture was really interesting. anymore of these like this?

anybody know of a place where i can watch video lectures of math courses? anything above calculus will be of interest. thanks.