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   Author  Topic: Help  (Read 1209 times)
Rkiuyto
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« on: Dec 31st, 2008, 1:19am »		 Quote Quote Modify Modify
1. Find the value of  
tan² 1+ tan² 3+......+tan² 89.  
 
2.Find the ordered pairs x and y where x and y are real numbers such that x and y satisfy the two equations below.  
 
(1/sqrt  x)+(1/sqrt  y)=(x+3y)(3x+y)  
(1/sqrt  x)-(1/sqrt  y)=2 (y²-x²)  
 
 
 
« Last Edit: Dec 31st, 2008, 1:26am by Rkiuyto » IP Logged
towr
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Re: Help  
« Reply #1 on: Dec 31st, 2008, 1:25am »		 Quote Quote Modify Modify
1) http://www.ocf.berkeley.edu/~wwu/cgi-bin/yabb/YaBB.cgi?board=riddles_med ium;action=display;num=1199866905;
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Wikipedia, Google, Mathworld, Integer sequence DB
teekyman
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Re: Help  
« Reply #2 on: Jan 12th, 2009, 7:26pm »		 Quote Quote Modify Modify
2.) case 1: x = y. Then we get 2/x = 16x, or x = y = 2 ^ (-6/5)
case 2: x != y. More to come hopefully?
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