SOLUTION: if x=c*y+b*z y=a*z+c*x z=b*x+a*y Then prove that x^2/1-a^2=y^2/1-b^2=z^2/1-c^2

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Question 252008: if x=c*y+b*z
y=a*z+c*x
z=b*x+a*y
Then prove that x^2/1-a^2=y^2/1-b^2=z^2/1-c^2
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!

if



Then prove that 
                
Solve the second for c:



Use the third equation to substitute for z


Use this and the third original equation to substitute
for both c and z in the first equation:




Multiply thru by x:







Divide both sides by 





 

To prove that one of these also equals 
is exactly similar to the above.

Edwin
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